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1. Geometric Function Theory : Explorations in Complex Analysis
edited by Steven G. Krantz
出版情報: Boston, MA : Birkhäuser Boston, 2006
シリーズ名: Cornerstones ;
オンライン: http://dx.doi.org/10.1007/0-8176-4440-7
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2.

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2. Complex Variables with Applications
by S. Ponnusamy, Herb Silverman
出版情報: Boston, MA : Birkhäuser Boston, 2006
オンライン: http://dx.doi.org/10.1007/978-0-8176-4513-7
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3.

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3. Topics in the Theory of Algebraic Function Fields
by Gabriel Daniel Villa Salvador
出版情報: Boston, MA : Birkhäuser Boston, 2006
シリーズ名: Mathematics: Theory & Applications ;
オンライン: http://dx.doi.org/10.1007/0-8176-4515-2
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4.

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4. Zeta Functions over Zeros of Zeta Functions
by André Voros
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2010
シリーズ名: Lecture Notes of the Unione Matematica Italiana ; 8
オンライン: http://dx.doi.org/10.1007/978-3-642-05203-3
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5.

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5. Global Analysis of Minimal Surfaces
by Ulrich Dierkes, Stefan Hildebrandt, Anthony J. Tromba
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2010
シリーズ名: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; 341
オンライン: http://dx.doi.org/10.1007/978-3-642-11706-0
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6.

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6. Minimal Surfaces
by Ulrich Dierkes, Stefan Hildebrandt, Friedrich Sauvigny
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2010
シリーズ名: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; 339
オンライン: http://dx.doi.org/10.1007/978-3-642-11698-8
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7.

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7. Regularity of Minimal Surfaces
by Ulrich Dierkes, Stefan Hildebrandt, Anthony J. Tromba
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2010
シリーズ名: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; 340
オンライン: http://dx.doi.org/10.1007/978-3-642-11700-8
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8.

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8. Generalizations of Thomae's Formula for Zn Curves
by Hershel M. Farkas, Shaul Zemel
出版情報: New York, NY : Springer Science + Business Media, LLC, 2011
シリーズ名: Developments in Mathematics, Diophantine Approximation: Festschrift for Wolfgang Schmidt ; 21
オンライン: http://dx.doi.org/10.1007/978-1-4419-7847-9
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9.

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9. Value Distribution of Meromorphic Functions
by Jianhua Zheng
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
オンライン: http://dx.doi.org/10.1007/978-3-642-12909-4
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10. Geometry of Algebraic Curves : Volume II with a contribution by Joseph Daniel Harris
by Enrico Arbarello, Maurizio Cornalba, Phillip A. Griffiths
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; 268
オンライン: http://dx.doi.org/10.1007/978-3-540-69392-5
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11.

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11. Noncommutative Functional Calculus : Theory and Applications of Slice Hyperholomorphic Functions
by Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa
出版情報: Basel : Springer Basel AG, 2011
シリーズ名: Progress in Mathematics ; 289
オンライン: http://dx.doi.org/10.1007/978-3-0348-0110-2
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12.

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12. An Introduction to Complex Analysis. 1
by Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas
出版情報: Boston, MA : Springer Science+Business Media, LLC, 2011
オンライン: http://dx.doi.org/10.1007/978-1-4614-0195-7
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13.

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13. Complex Analysis
edited by F. Gherardelli
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: C.I.M.E. Summer Schools ; 62
オンライン: http://dx.doi.org/10.1007/978-3-642-10964-5
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14.

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14. Complex Analysis 2 : Riemann Surfaces, Several Complex Variables, Abelian Functions, Higher Modular Functions
by Eberhard Freitag
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-3-642-20554-5
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15. Harmonic Functions and Potentials on Finite or Infinite Networks
by Victor Anandam
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Lecture Notes of the Unione Matematica Italiana ; 12
オンライン: http://dx.doi.org/10.1007/978-3-642-21399-1
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16. Elementi di Analisi Complessa : Funzioni di una variabile
by Carlo Presilla
出版情報: Milano : Springer-Verlag Italia Srl., 2011
シリーズ名: UNITEXT ;
オンライン: http://dx.doi.org/10.1007/978-88-470-1830-3
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17.

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17. A Complex Analysis Problem Book
by Daniel Alpay
出版情報: Basel : Springer Basel AG, 2011
オンライン: http://dx.doi.org/10.1007/978-3-0348-0078-5
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18.

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18. Stein Manifolds and Holomorphic Mappings : The Homotopy Principle in Complex Analysis
by Franc Forstnerič
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; 56
オンライン: http://dx.doi.org/10.1007/978-3-642-22250-4
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19. Analysis on Fock Spaces
by Kehe Zhu
出版情報: Boston, MA : Springer US, 2012
シリーズ名: Graduate Texts in Mathematics ; 263
オンライン: http://dx.doi.org/10.1007/978-1-4419-8801-0
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20.

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20. Complex Analysis and Differential Equations
by Luis Barreira, Claudia Valls
出版情報: London : Springer London, 2012
シリーズ名: Springer Undergraduate Mathematics Series ;
オンライン: http://dx.doi.org/10.1007/978-1-4471-4008-5
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21.

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21. The Beltrami Equation : A Geometric Approach
by Vladimir Gutlyanskii, Vladimir Ryazanov, Uri Srebro, Eduard Yakubov
出版情報: New York, NY : Springer New York, 2012
シリーズ名: Developments in Mathematics ; 26
オンライン: http://dx.doi.org/10.1007/978-1-4614-3191-6
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22.

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22. Linear Differential Equations and Group Theory from Riemann to Poincaré. Second Edition
by Jeremy J. Gray
出版情報: Boston, MA : Birkhäuser Boston, 2008
シリーズ名: Modern Birkhäuser Classics ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-4773-5
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23.

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23. Analysis II
by Herbert Amann, Joachim Escher
出版情報: Basel : Birkhäuser Verlag, 2008
オンライン: http://dx.doi.org/10.1007/978-3-7643-7478-5
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24.

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24. Holomorphic Functions in the Plane and n-dimensional Space
by Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig
出版情報: Basel : Birkhäuser Verlag AG, 2008
オンライン: http://dx.doi.org/10.1007/978-3-7643-8272-8
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25.

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25. Commutative Algebras of Toeplitz Operators on the Bergman Space
by Nikolai L. Vasilevski ; edited by I. Gohberg, D. Alpay, J. Arazy, A. Atzmon, J. A. Ball, H. Bart, A. Ben-Artzi, H. Bercovici, A. Böttcher, K. Clancey, R. Curto, K. R. Davidson, M. Demuth, A. Dijksma, R. G. Douglas, R. Duduchava, A. Ferreira dos Santos, A. E. Frazho, P. A. Fuhrmann, B. Gramsch, H. G. Kaper, S. T. Kuroda, L. E. Lerer, B. Mityagin, V. Olshevski, M. Putinar, A. C. M. Ran, L. Rodman, J. Rovnyak, B. -W. Schulze, F. Speck, I. M. Spitkovsky, S. Treil, C. Tretter, H. Upmeier, N. Vasilevski, S. Verduyn Lunel, D. Voiculescu, D. Xia, D. Yafaev
出版情報: Basel : Birkhäuser Basel, 2008
シリーズ名: Operator Theory: Advances and Applications ; 185
オンライン: http://dx.doi.org/10.1007/978-3-7643-8726-6
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26.

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26. Shape-Preserving Approximation by Real and Complex Polynomials
by Sorin G. Gal
出版情報: Boston, MA : Birkhäuser Boston, 2008
オンライン: http://dx.doi.org/10.1007/978-0-8176-4703-2
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27.

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27. Complex Analysis
by Rolf Busam, Eberhard Freitag
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2009
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-3-540-93983-2
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28.

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28. Applied Pseudoanalytic Function Theory
by Vladislav V. Kravchenko
出版情報: Basel : Birkhäuser Basel, 2009
シリーズ名: Frontiers in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-0346-0004-0
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29.

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29. Recent Advances in Operator Theory and Applications
edited by I. Gohberg, D. Alpay, J. Arazy, A. Atzmon, J. A. Ball, H. Bart, A. Ben-Artzi, H. Bercovici, A. Böttcher, K. Clancey, R. Curto, K. R. Davidson, M. Demuth, A. Dijksma, R. G. Douglas, R. Duduchava, A. Ferreira dos Santos, A. E. Frazho, P. A. Fuhrmann, B. Gramsch, H. G. Kaper, S. T. Kuroda, L. E. Lerer, B. Mityagin, V. Olshevski, M. Putinar, A. C. M. Ran, L. Rodman, J. Rovnyak, B. -W. Schulze, F. Speck, I. M. Spitkovsky, S. Treil, C. Tretter, H. Upmeier, N. Vasilevski, S. Verduyn Lunel, D. Voiculescu, D. Xia, D. Yafaev, Tsuyoshi Ando, Raúl E. Curto, Il Bong Jung, Woo Young Lee
出版情報: Basel : Birkhäuser Basel, 2009
シリーズ名: Operator Theory: Advances and Applications ; 187
オンライン: http://dx.doi.org/10.1007/978-3-7643-8893-5
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30.

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30. Hypercomplex Analysis
edited by Irene Sabadini, Michael Shapiro, Frank Sommen
出版情報: Basel : Birkhäuser Basel, 2009
シリーズ名: Trends in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-7643-9893-4
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31.

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31. Holomorphic Operator Functions of One Variable and Applications : Methods from Complex Analysis in Several Variables
by Israel Gohberg, Jürgen Leiterer
出版情報: Basel : Birkhäuser Basel, 2009
シリーズ名: Operator Theory: Advances and Applications ; 192
オンライン: http://dx.doi.org/10.1007/978-3-0346-0126-9
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32.

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32. Integration and Modern Analysis
by John J. Benedetto, Wojciech Czaja
出版情報: Boston : Birkhäuser Boston, 2009
シリーズ名: Birkhäuser Advanced Texts / Basler Lehrbücher ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-4656-1
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33.

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33. Complex Analysis : Fundamentals of the Classical Theory of Functions. 1
by John Stalker
出版情報: Boston : Birkhäuser Boston, 2009
シリーズ名: Modern Birkhäuser Classics ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-4919-7
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34. The Hardy Space of a Slit Domain
by Alexandru Aleman, William T. Ross, Nathan S. Feldman
出版情報: Basel : Birkhäuser Basel, 2009
シリーズ名: Frontiers in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-0346-0098-9
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35.

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35. Analysis and Mathematical Physics
edited by Björn Gustafsson, Alexander Vasil’ev
出版情報: Basel : Birkhäuser Basel, 2009
シリーズ名: Trends in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-7643-9906-1
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36.

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36. Fractals and Universal Spaces in Dimension Theory
by Stephen Lipscomb
出版情報: New York, NY : Springer Science+Business Media, LLC, 2009
シリーズ名: Springer Monographs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-0-387-85494-6
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37.

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37. Discrete Integrable Systems : QRT Maps and Elliptic Surfaces. 1
by J.J. Duistermaat
出版情報: New York, NY : Springer Science+Business Media, LLC, 2010
シリーズ名: Springer Monographs in Mathematics ; 304
オンライン: http://dx.doi.org/10.1007/978-0-387-72923-7
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38. A State Space Approach to Canonical Factorization with Applications
by Harm Bart, Marinus A. Kaashoek, André C. M. Ran
出版情報: Basel : Birkhäuser Basel, 2010
シリーズ名: Operator Theory: Advances and Applications, Linear Operators and Linear Systems ; 200
オンライン: http://dx.doi.org/10.1007/978-3-7643-8753-2
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39.

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39. Linearization Models for Complex Dynamical Systems : Topics in Univalent Functions, Functional Equations and Semigroup Theory Mark Elin
by David Shoikhet, Mark Elin
出版情報: Basel : Birkhäuser / Springer Basel, 2010
シリーズ名: Operator Theory: Advances and Applications ; 208
オンライン: http://dx.doi.org/10.1007/978-3-0346-0509-0
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40.

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40. Complex Analysis : Several Complex Variables and Connections with PDE Theory and Geometry
by Peter Ebenfelt, Norbert Hungerbühler, Joseph J. Kohn, Ngaiming Mok, Emil J. Straube
出版情報: Basel : Birkhäuser Basel, 2010
シリーズ名: Trends in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-0346-0009-5
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41.

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41. Introduction to Piecewise Differentiable Equations
by Stefan Scholtes
出版情報: New York, NY : Springer New York : Imprint: Springer, 2012
シリーズ名: SpringerBriefs in Optimization ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-4340-7
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42.

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42. Visual Complex Functions : An Introduction with Phase Portraits
by Elias Wegert
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2012
オンライン: http://dx.doi.org/10.1007/978-3-0348-0180-5
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目次情報: 続きを見る
Preface
1. Getting Acquainted
2. Complex Functions
3. Analytic Functions
4. Complex Calculus
5. Construction Principles
6. Conformal Mappings
7. Riemann Surfaces
Preface
1. Getting Acquainted
2. Complex Functions
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43. Mathematical Methods in Systems, Optimization, and Control : Festschrift in Honor of J. William Helton
edited by Harry Dym, Mauricio C. Oliveira, Mihai Putinar
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2012
シリーズ名: Operator Theory: Advances and Applications ; 222
オンライン: http://dx.doi.org/10.1007/978-3-0348-0411-0
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目次情報: 続きを見る
Preface
Inroduction (an overview of the contents of the book, from the perspective of Helton's landmark contributions)
Biographical Note and List of Publications of J.W. Helton
Bounded Analytic Interpolation and H-infinity Control
Linear Matrix Inequalities and Matrix Convexity
Optimization and Realization in the Free *-algebra
Automatic Verification of Matrix Inequalities
Non-commutative Algebraic Geometry
Non-Commutative Differential Geometry and Probability
Modern Trends in Robust Control
Challenges of Mathematical Biology
Mathematical Programming and Computer Science
Preface
Inroduction (an overview of the contents of the book, from the perspective of Helton's landmark contributions)
Biographical Note and List of Publications of J.W. Helton
44.

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44. Advances in Applied Analysis
edited by Sergei V. Rogosin, Anna A. Koroleva
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2012
シリーズ名: Trends in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-0348-0417-2
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目次情報: 続きを見る
Introduction
Kisil, Vladimir V.: Erlangen Program at Large: Brief Outline
Laurincikas, A.: The Riemann zeta-function: approximation of analytic functions
Luchko, Yury: Anomalous diffusion: models, their analysis, and interpretation
Mityushev, Vladimir, V.: R-linear and Riemann-Hilbert problems for multiply connected domains
Plaksa, S. A.: Commutative algebras associated with classic equations of mathematical physics
Rogosin, Sergei V.: 2D Free Boundary Value Problems
Introduction
Kisil, Vladimir V.: Erlangen Program at Large: Brief Outline
Laurincikas, A.: The Riemann zeta-function: approximation of analytic functions
45.

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45. Interpolation, Schur Functions and Moment Problems II
edited by Daniel Alpay, Bernd Kirstein
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2012
シリーズ名: Operator Theory: Advances and Applications ; 226
オンライン: http://dx.doi.org/10.1007/978-3-0348-0428-8
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46. Modular Forms with Integral and Half-Integral Weights
by Xueli Wang, Dingyi Pei
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012
オンライン: http://dx.doi.org/10.1007/978-3-642-29302-3
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目次情報: 続きを見る
Theta Functions and Their Transformation Formulae
Eisenstein Series
The Modular Group and Its Subgroups
Modular Forms with Integral Weight or Half-integral Weight
Operators on the Space of Modular Forms
New Forms and Old Forms.-Construction of Eisenstein Series
Weil Representation and Shimura Lifting
Trace Formula
Integers Represented by Positive Definite Quadratic Forms
Theta Functions and Their Transformation Formulae
Eisenstein Series
The Modular Group and Its Subgroups
47.

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47. Complex Analysis : In the Spirit of Lipman Bers. 2nd ed. 2013
by Rubí E. Rodríguez, Irwin Kra, Jane P. Gilman
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Graduate Texts in Mathematics ; 245
オンライン: http://dx.doi.org/10.1007/978-1-4419-7323-8
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目次情報: 続きを見る
Preface to Second Edition
Preface to First Edition
Standard Notation and Commonly Used Symbols
1 The Fundamental Theorem in Complex Function Theory
2 Foundations
3 Power Series
4 The Cauchy Theory - A Fundamental Theorem
5 The Cauchy Theory - Key Consequences
6 Cauchy Theory: Local Behavior and Singularities of Holomorphic Functions
7 Sequences and Series of Holomorphic Functions
8 Conformal Equivalence and Hyperbolic Geometry
9 Harmonic Functions
10 Zeros of Holomorphic Functions
Bibliographical Notes
Bibliography
Index
Preface to Second Edition
Preface to First Edition
Standard Notation and Commonly Used Symbols
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48. Uniform Spaces and Measures
by Jan Pachl
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Fields Institute Monographs ; 30
オンライン: http://dx.doi.org/10.1007/978-1-4614-5058-0
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目次情報: 続きを見る
Prerequisites
1. Uniformities and Topologies
2. Induced Uniform Structures
3. Uniform Structures on Semigroups
4. Some Notable Classes of Uniform Spaces
5. Measures on Complete Metric Spaces
6. Uniform Measures
7. Uniform Measures as Measures
8. Instances of Uniform Measures
9. Direct Product and Convolution
10. Free Uniform Measures
11. Approximation of Probability Distributions
12. Measurable Functionals
Hints to Excercises
References
Notation Index
Author Index
Subject Index
Prerequisites
1. Uniformities and Topologies
2. Induced Uniform Structures
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49. Blaschke Products and Their Applications
edited by Javad Mashreghi, Emmanuel Fricain
出版情報: Boston, MA : Springer US : Imprint: Springer, 2013
シリーズ名: Fields Institute Communications ; 65
オンライン: http://dx.doi.org/10.1007/978-1-4614-5341-3
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50. Derivatives of Inner Functions
by Javad Mashreghi
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Fields Institute Monographs ; 31
オンライン: http://dx.doi.org/10.1007/978-1-4614-5611-7
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51. Hidden Harmony—Geometric Fantasies : The Rise of Complex Function Theory
by Umberto Bottazzini, Jeremy Gray
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Sources and Studies in the History of Mathematics and Physical Sciences ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-5725-1
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目次情報: 続きを見る
List of Figures
Introduction
1. Elliptic Functions
2. From real to complex
3. Cauch
4. Elliptic integrals
5. Riemann
6. Weierstrass
7. Differential equations
8. Advanced topics
9. Several variables
10. Textbooks
List of Figures
Introduction
1. Elliptic Functions
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52. Applications of q-Calculus in Operator Theory
by Ali Aral, Vijay Gupta, Ravi P Agarwal
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
オンライン: http://dx.doi.org/10.1007/978-1-4614-6946-9
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目次情報: 続きを見る
Introduction of q-calculus
q-Discrete operators and their results
q-Integral operators
q-Bernstein type integral operators
q-Summation-integral operators
Statistical convergence of q-operators
q-Complex operators
Introduction of q-calculus
q-Discrete operators and their results
q-Integral operators
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53. Overconvergence in Complex Approximation
by Sorin G. Gal
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
オンライン: http://dx.doi.org/10.1007/978-1-4614-7098-4
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目次情報:
Overconvergence in C of Some Bernstein-Type Operators
Overconvergence and Convergence in C of Some Integral Convolutions
Overconvergence in C of the Orthogonal Expansions
Overconvergence in C of Some Bernstein-Type Operators
Overconvergence and Convergence in C of Some Integral Convolutions
Overconvergence in C of the Orthogonal Expansions
54.

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54. Regular Functions of a Quaternionic Variable
by Graziano Gentili, Caterina Stoppato, Daniele C. Struppa
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Springer Monographs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-642-33871-7
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Introduction
1.Definitions and Basic Results
2.Regular Power Series
3.Zeros
4.Infinite Products
5.Singularities
6.Integral Representations
7.Maximum Modulus Theorem and Applications
8.Spherical Series and Differential
9.Fractional Transformations and the Unit Ball
10.Generalizations and Applications
Bibliography
Index
Introduction
1.Definitions and Basic Results
2.Regular Power Series
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55. Introduction to Mathematical Analysis
by Igor Kriz, Aleš Pultr
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2013
オンライン: http://dx.doi.org/10.1007/978-3-0348-0636-7
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Preface
Introduction
Part 1. A Rigorous Approach to Advanced Calculus
1. Preliminaries
2. Metric and Topological Spaces I
3. Multivariable Differential Calculus
4. Integration I: Multivariable Riemann Integral and Basic Ideas toward the Lebesgue Integral
5. Integration II: Measurable Functions, Measure and the Techniques of Lebesgue Integration
6. Systems of Ordinary Differential Equations
7. System of Linear Differential Equations
8. Line Integrals and Green's Theorem
Part 2. Analysis and Geometry
9. An Introduction to Complex Analysis
10. Metric and Topological Spaces II
11. Multilinear Algebra
12. Smooth Manifolds, Differential Forms and Stokes' Theorem
13. Calculus of Variations and the Geodesic Equation
14. Tensor Calculus and Riemannian Geometry
15. Hilbert Spaces I: Definitions and Basic Properties
16. Hilbert Spaces II: Examples and Applications
Appendix A. Linear Algebra I: Vector Spaces
Appendix B. Linear Algebra II: More about Matrices
Bibliography
Index of Symbols
Index.
Preface
Introduction
Part 1. A Rigorous Approach to Advanced Calculus
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56. Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
by Daniel Alpay, Maria Elena Luna-Elizarrarás, Michael Shapiro, Daniele C. Struppa
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-319-05110-9
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1. Bicomplex and hyperbolic numbers
2. Bicomplex functions and matrices
3. BC-modules
4. Norms and inner products on BC-modules
5. Linear functionals and linear operators on BC-modules
6. Schur analysis
1. Bicomplex and hyperbolic numbers
2. Bicomplex functions and matrices
3. BC-modules
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57. Elementi di Analisi Complessa : Funzioni di una variabile. 2a edizione
by Carlo Presilla
出版情報: Milano : Springer Milan : Imprint: Springer, 2014
シリーズ名: UNITEXT ; 72
オンライン: http://dx.doi.org/10.1007/978-88-470-5501-8
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1 Numeri complessi
2 Spazi metrici
3 Limiti e continuità
4 Successioni e serie di funzioni
5 Derivate e funzioni analitiche
6 Funzioni elementari
7 Integrali
8 Serie di Taylor e Laurent
9 Residui
10 Applicazioni dei residui
11 Ulteriori proprietà delle funzioni analitiche
Appendice A. Soluzione degli esercizi proposti
1 Numeri complessi
2 Spazi metrici
3 Limiti e continuità
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58. Topics in Mathematical Analysis and Applications
edited by Themistocles M. Rassias, László Tóth
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Springer Optimization and Its Applications ; 94
オンライン: http://dx.doi.org/10.1007/978-3-319-06554-0
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Simple Proofs of Some Bernstein–Mordell Type Inequalities (V. Adiyasuren, Tserendorj Batbold)
Hilbert-Type Inequalities Including Some Operators, The Best Possible Constants and Applications: A survey (V. Adiyasuren, Tserendorj Batbold, M. Krnić)
On the Mazur–Ulam Theorem (M. Aghajani)
A Fixed Point Approach to Stability of the Quadratic Equation (M. Almahalebi, A. Charifi, S. Kabbaj, E. Elqorachi)
Aspects of Global Analysis of Circle-Valued Mappings (D. Andrica, D. Mangra, C. Pintea)
A Remark on Some Simultaneous Functional Inequalities in Riesz Spaces (B. Batko, J. Brzdęk)
Elliptic Problems on the Sierpinski Gasket (B.E. Breckner, C. Varga)
Initial Value Problems in Linear Integral Operator Equations (L.P. Castro, M.M. Rodrigues, S. Saitoh)
Extension Operators that Preserve Geometric and Analytic Properties of Biholomorphic Mappings (T. Chirilă)
Normal Cones and Thompson Metric (Ş. Cobzaş, M.-D. Rus)
Functional Operators and Approximate Solutions of Functional Equations (S. Czerwik, K. Król)
Markov-Type Inequalities with Applications in Multivariate Approximation Theory (N.J. Daras)
The Number of Prime Factors Function on Shifted Primes and Normal Numbers (J.-M. De Koninck, I. Kátai)
Imbedding Inequalities for Composition of Green's and Potential Operators (S. Ding, Y. Xing)
On Approximation Properties of q-King Operators (Z. Finta)
Certain Szász-Mirakyan-Beta Operators (N.K. Govil, V. Gupta, D. Soybaş)
Extremal Problems and g-Loewner Chains in Cn and Reflexive Complex Banach Spaces (I. Graham, H. Hamada, G. Kohr)
Different Durrmeyer Variants of Baskakov Operators (V. Gupta)
Hypergeometric Representation of Certain Summation-Integral Operators (V. Gupta, T.M. Rassias)
On a Hybrid Fourth Moment Involving the Riemann Zeta-Function (A. Ivić, W. Zhai)
On the Invertibility of Some Elliptic Operators on Manifolds with Boundary and Cylindrical Ends (M. Kohr, C. Pintea)
Meaned Spaces and a General Duality Principle (J. Kolumbán, J.J. Kolumbán)
An AQCQ-Functional Equation in Matrix Random Normed Spaces (J.R. Lee, C. Park, T.M. Rassias)
A Planar Location-Allocation Problem with Waiting Time Costs (L. Mallozzi, E. D'Amato, E. Daniele)
The Stability of an Affine Type Functional Equation with the Fixed Point Alternative (M. Mursaleen, K.J. Ansari)
On Some Integral Operators (K.I. Noor)
Integer Points in Large Bodies (W.G. Nowak)
On the Orderability Problem and the Interval Topology (K. Papadopoulos)
A Class of Functional-Integral Equations with Applications to a Bilocal Problem (A. Petrusel, I.A. Rus)
Hyperbolic Wavelets (F. Schipp)
One Hundred Years Uniform Distribution Modulo One and Recent Applications to Riemann's Zeta-Function (J. Steuding)
On the Energy of Graphs (I. Triantafillou)
Implicit Contractive Maps in Ordered Metric Spaces (M. Turinici)
Higher Dimensional Continuous Wavelet Transform in Wiener Amalgam (F. Weisz)
Multidimensional Hilbert-Type Integral Inequalities and Their Operators (B. Yang)
Simple Proofs of Some Bernstein–Mordell Type Inequalities (V. Adiyasuren, Tserendorj Batbold)
Hilbert-Type Inequalities Including Some Operators, The Best Possible Constants and Applications: A survey (V. Adiyasuren, Tserendorj Batbold, M. Krnić)
On the Mazur–Ulam Theorem (M. Aghajani)
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59. Hypercomplex Analysis: New Perspectives and Applications
edited by Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Frank Sommen
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2014
シリーズ名: Trends in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-319-08771-9
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60. Topological Galois Theory : Solvability and Unsolvability of Equations in Finite Terms
by Askold Khovanskii
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014
シリーズ名: Springer Monographs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-642-38871-2
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Preface
1 Construction of Liouvillian Classes of Functions and Liouville’s Theory
2 Solvability of Algebraic Equations by Radicals and Galois Theory
3 Solvability and Picard–Vessiot Theory
4 Coverings and Galois Theory
5 One-Dimensional Topological Galois Theory
6 Solvability of Fuchsian Equations
7 Multidimensional Topological Galois Theory
Appendix A: Straightedge and Compass Constructions
Appendix B: Chebyshev Polynomials and Their Inverses
Appendix C: Signatures of Branched Coverings and Solvability in Quadratures
Appendix D: On an Algebraic Version of Hilbert’s 13th Problem
References
Preface
1 Construction of Liouvillian Classes of Functions and Liouville’s Theory
2 Solvability of Algebraic Equations by Radicals and Galois Theory
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61. Elliptic and Parabolic Equations : Hannover, September 2013
edited by Joachim Escher, Elmar Schrohe, Jörg Seiler, Christoph Walker
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 119
オンライン: http://dx.doi.org/10.1007/978-3-319-12547-3
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Uniformly regular and singular riemannian manifolds
Eigenvalue estimates on Bakry-Emery manifolds
A note on the local well-posedness for the Whitham equation
On the lifetime of a conditioned Brownian motion in domains connected through small gaps
Analyticity of rotational water waves
Degenerate and singular porous medium type equations with measure data
Aspects of the mathematical analysis of nonlinear stratified water waves
A calculus of abstract edge pseudodifferential operators of type r;d
Boundary value problems for elliptic wedge operators: the first order case
The time singular limit for a fourth-order damped wave equation for MEMS
Composition in the edge calculus
On bifurcation for semilinear elliptic Dirichlet problems on shrinking domains
Uniformly regular and singular riemannian manifolds
Eigenvalue estimates on Bakry-Emery manifolds
A note on the local well-posedness for the Whitham equation
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62. Sampling Theory, a Renaissance : Compressive Sensing and Other Developments. 1st ed. 2015
edited by Götz E. Pfander
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015
シリーズ名: Applied and Numerical Harmonic Analysis ;
オンライン: http://dx.doi.org/10.1007/978-3-319-19749-4
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Part I: Sparsity Models
Estimation in High Dimensions: A Geometric Perspective
Convex Recovery of a Structured Signal from Independent Random Linear Measurements
Low Complexity Regularization of Linear Inverse Problems
Part II: Frames with Benefits
Noise-shaping Quantization Methods for Frame-based and Compressive Sampling Systems
Fourier Operations in Applied Harmonic Analysis
The Fundamentals of Spectral Tetris Frame Constructions
Part III: Bandlimitation Recast
System Approximation and Generalized Measurements in Modern Sampling Theory
Entire Functions in Generalized Bernstein Spaces and Their Growth Behavior
Sampling and Geometry
A Sheaf-theoretic Perspective on Sampling
Part IV: Solutions of Parametric PDEs
How to Best Sample a Solution Manifold?
On the Stability of Polynomial Interpolation using Hierarchical Sampling
Part V: Implementation
OperA: Operator-based Annihilation for Finite-Rate-of-Innovation Signal Sampling
Digital Adaptive Calibration of Data Converters using Independent Component Analysis
Part I: Sparsity Models
Estimation in High Dimensions: A Geometric Perspective
Convex Recovery of a Structured Signal from Independent Random Linear Measurements
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63. The Real and the Complex: A History of Analysis in the 19th Century. 1st ed. 2015
by Jeremy Gray
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Springer Undergraduate Mathematics Series ;
オンライン: http://dx.doi.org/10.1007/978-3-319-23715-2
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Lagrange and foundations for the calculus
Joseph Fourier
Legendre
Cauchy and continuity
Cauchy: differentiation and integration
Cauchy and complex functions to 1830
Abel
Jacobi
Gauss
Cauchy and complex function theory, 1830-1857
Complex functions and elliptic integrals
Revision
Gauss, Green, and potential theory
Dirichlet, potential theory, and Fourier series
Riemann
Riemann and complex function theory
Riemann's later complex function theory
Responses to Riemann's work
Weierstrass
Weierstrass's foundational results
Revision { and assessment
Uniform Convergence
Integration and trigonometric series
The fundamental theorem of the calculus
The construction of the real numbers
Implicit functions
Towards Lebesgue's theory of integration
Cantor, set theory, and foundations
Topology
Assessment
Lagrange and foundations for the calculus
Joseph Fourier
Legendre
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64. Walsh Equiconvergence of Complex Interpolating Polynomials
by Amnon Jakimovski, Ambikeshwar Sharma, József Szabados
出版情報: Dordrecht : Springer, 2006
シリーズ名: Springer Monographs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-4020-4175-4
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65. On the Topology of Isolated Singularities in Analytic Spaces
by José Seade
出版情報: Basel : Birkhäuser Verlag, 2006
シリーズ名: Progress in Mathematics ; 241
オンライン: http://dx.doi.org/10.1007/3-7643-7395-4
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66. The Monodromy Group
by Henryk Zoladek
出版情報: Basel : Birkhäuser Verlag, 2006
シリーズ名: Monografie Matematyczne ; 67
オンライン: http://dx.doi.org/10.1007/3-7643-7536-1
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67. The Fourfold Way In Real Analysis : An Alternative to the Metaplectic Representation
by André Unterberger
出版情報: Basel : Birkhäuser Verlag, 2006
シリーズ名: Progress in Mathematics ; 250
オンライン: http://dx.doi.org/10.1007/3-7643-7545-0
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68. Value Distribution Theory Related to Number Theory
by Pei-Chu Hu, Chung-Chun Yang
出版情報: Basel : Birkhäuser Verlag, 2006
オンライン: http://dx.doi.org/10.1007/3-7643-7569-8
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69. Wavelets, Multiscale Systems and Hypercomplex Analysis
edited by Daniel Alpay, Annemarie Luger, Harald Woracek
出版情報: Basel : Birkhäuser Verlag, 2006
シリーズ名: Operator Theory: Advances and Applications ; 167
オンライン: http://dx.doi.org/10.1007/3-7643-7588-4
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70. Shift-invariant Uniform Algebras on Groups
by Suren A. Grigoryan, Thomas V. Tonev
出版情報: Basel : Birkhäuser Verlag, 2006
シリーズ名: Monografie Matematyczne, Instytut Matematyczny Polskiel Akademii Nauk (IMPAN) ; 68
オンライン: http://dx.doi.org/10.1007/3-7643-7605-8
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71. Complex Analysis with Applications in Science and Engineering. Second Edition
by Harold Cohen
出版情報: Boston, MA : Springer-Verlag US, 2007
オンライン: http://dx.doi.org/10.1007/978-0-387-73058-5
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72. Bounded Analytic Functions
by John B. Garnett
出版情報: New York, NY : Springer, 2007
シリーズ名: Graduate Texts in Mathematics ; 236
オンライン: http://dx.doi.org/10.1007/0-387-49763-3
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73. An Introduction to Operators on the Hardy-Hilbert Space
by Rubén A. Martínez-Avendaño, Peter Rosenthal
出版情報: New York, NY : Springer Science+Business Media, LLC, 2007
シリーズ名: Graduate Texts in Mathematics ; 237
オンライン: http://dx.doi.org/10.1007/978-0-387-48578-2
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74. Wavelet Analysis and Applications
edited by Tao Qian, Mang I Vai, Yuesheng Xu
出版情報: Basel : Birkhäuser Verlag, 2007
シリーズ名: Applied and Numerical Harmonic Analysis ;
オンライン: http://dx.doi.org/10.1007/978-3-7643-7778-6
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75. Operator Theory in Inner Product Spaces
edited by Karl-Heinz Förster, Peter Jonas, Heinz Langer, Carsten Trunk
出版情報: Basel : Birkhäuser Verlag AG, 2007
シリーズ名: Operator Theory: Advances and Applications ; 175
オンライン: http://dx.doi.org/10.1007/978-3-7643-8270-4
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76. Vortices in the Magnetic Ginzburg-Landau Model
by Etienne Sandier, Sylvia Serfaty
出版情報: Boston, MA : Birkhäuser Boston, 2007
シリーズ名: Progress in Nonlinear Differential Equations and Their Applications ; 70
オンライン: http://dx.doi.org/10.1007/978-0-8176-4550-2
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77. Spectral Theory of Infinite-Area Hyperbolic Surfaces
by David Borthwick
出版情報: Boston, MA : Birkhäuser Boston, 2007
シリーズ名: Progress in Mathematics ; 256
オンライン: http://dx.doi.org/10.1007/978-0-8176-4653-0
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78. Polynomial Convexity
by Edgar Lee Stout
出版情報: Boston, MA : Birkhäuser Boston, 2007
シリーズ名: Progress in Mathematics ; 261
オンライン: http://dx.doi.org/10.1007/978-0-8176-4538-0
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79. Tata Lectures on Theta I
edited by David Mumford
出版情報: Boston : Birkhäuser, 2007
シリーズ名: Modern Birkhäuser Classics ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-4577-9
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80. Complex Analysis : In the Spirit of Lipman Bers
by Jane P. Gilman, Irwin Kra, Rubí E. Rodríguez
出版情報: New York, NY : Springer Science+Business Media, LLC, 2007
シリーズ名: Graduate Texts in Mathematics ; 245
オンライン: http://dx.doi.org/10.1007/978-0-387-74715-6
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81. Surveys in Number Theory
edited by Krishnaswami Alladi
出版情報: New York, NY : Springer-Verlag New York, 2008
シリーズ名: Developments in Mathematics, Diophantine Approximation: Festschrift for Wolfgang Schmidt ; 17
オンライン: http://dx.doi.org/10.1007/978-0-387-78510-3
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82. Value-Distribution of L-Functions
by Jörn Steuding
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2007
シリーズ名: Lecture Notes in Mathematics ; 1877
オンライン: http://dx.doi.org/10.1007/978-3-540-44822-8
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83. Sharp Real-Part Theorems : A Unified Approach
by Vladimir Maz'ya, Gershon Kresin
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2007
シリーズ名: Lecture Notes in Mathematics ; 1903
オンライン: http://dx.doi.org/10.1007/3-540-69573-7
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84. Punctured Torus Groups and 2-Bridge Knot Groups (I)
by Hirotaka Akiyoshi, Makoto Sakuma, Masaaki Wada, Yasushi Yamashita
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2007
シリーズ名: Lecture Notes in Mathematics ; 1909
オンライン: http://dx.doi.org/10.1007/978-3-540-71807-9
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85. Generalized Bessel Functions of the First Kind
by Árpád Baricz
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2010
シリーズ名: Lecture Notes in Mathematics ; 1994
オンライン: http://dx.doi.org/10.1007/978-3-642-12230-9
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86. Symmetries of Compact Riemann Surfaces
by Emilio Bujalance, Francisco Javier Cirre, José Manuel Gamboa, Grzegorz Gromadzki
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2010
シリーズ名: Lecture Notes in Mathematics ; 2007
オンライン: http://dx.doi.org/10.1007/978-3-642-14828-6
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87. Holomorphic Dynamical Systems : Cetraro, Italy, July 7-12, 2008
by Marco Abate, Eric Bedford, Marco Brunella, Tien-Cuong Dinh, Dierk Schleicher, Nessim Sibony ; edited by Graziano Gentili, Jacques Guenot, Giorgio Patrizio
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2010
シリーズ名: Lecture Notes in Mathematics ; 1998
オンライン: http://dx.doi.org/10.1007/978-3-642-13171-4
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88. Computational Approach to Riemann Surfaces
edited by Alexander I. Bobenko, Christian Klein
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Lecture Notes in Mathematics ; 2013
オンライン: http://dx.doi.org/10.1007/978-3-642-17413-1
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89. Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces : Topics from Differential Geometry and Geometric Analysis of Surfaces
by Steffen Fröhlich
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012
シリーズ名: Lecture Notes in Mathematics ; 2053
オンライン: http://dx.doi.org/10.1007/978-3-642-29846-2
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90. q -Fractional Calculus and Equations
by Mahmoud H. Annaby, Zeinab S. Mansour
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012
シリーズ名: Lecture Notes in Mathematics ; 2056
オンライン: http://dx.doi.org/10.1007/978-3-642-30898-7
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目次情報: 続きを見る
1 Preliminaries
2 q-Difference Equations
3 q-Sturm Liouville Problems
4 Riemann–Liouville q-Fractional Calculi
5 Other q-Fractional Calculi
6 Fractional q-Leibniz Rule and Applications
7 q-Mittag–Leffler Functions
8 Fractional q-Difference Equations
9 Applications of q-Integral Transforms
1 Preliminaries
2 q-Difference Equations
3 q-Sturm Liouville Problems
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91. Lectures on Mappings of Finite Distortion
by Stanislav Hencl, Pekka Koskela
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2096
オンライン: http://dx.doi.org/10.1007/978-3-319-03173-6
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目次情報: 続きを見る
Introduction
Continuity
Openness and discreteness
Images and preimages of null sets
Homeomorphisms of finite distortion
Integrability of Jf and 1/Jf
Final comments
Appendix
References
Introduction
Continuity
Openness and discreteness
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92. Second Order Differential Equations : Special Functions and Their Classification
by Gerhard Kristensson
出版情報: New York, NY : Springer Science+Business Media, LLC, 2010
オンライン: http://dx.doi.org/10.1007/978-1-4419-7020-6
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93. Recent Progress in Operator Theory and Its Applications
edited by Joseph A. Ball, Raúl E. Curto, Sergei M. Grudsky, J. William Helton, Raúl Quiroga-Barranco, Nikolai L. Vasilevski
出版情報: Basel : Springer Basel, 2012
シリーズ名: Operator Theory: Advances and Applications ; 220
オンライン: http://dx.doi.org/10.1007/978-3-0348-0346-5
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94. Extremal Polynomials and Riemann Surfaces
by Andrei Bogatyrev
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012
シリーズ名: Springer Monographs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-642-25634-9
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