close
1.

電子ブック
ＥＢ
1. Fractal Geometry, Complex Dimensions and Zeta Functions : Geometry and Spectra of Fractal Strings
by Michel L. Lapidus, Machiel Frankenhuijsen
出版情報: New York, NY : Springer Science+Business Media, LLC, 2006
シリーズ名: Springer Monographs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-0-387-35208-4
所蔵情報: loading…
2.

電子ブック
ＥＢ
2. 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
所蔵情報: loading…
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
3.

電子ブック
ＥＢ
3. Fractal Geometry, Complex Dimensions and Zeta Functions : Geometry and Spectra of Fractal Strings. 2nd ed. 2013
by Michel L. Lapidus, Machiel van Frankenhuijsen
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Springer Monographs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-2176-4
所蔵情報: loading…
目次情報: 続きを見る
Preface
Overview
Introduction
1. Complex Dimensions of Ordinary Fractal Strings
2. Complex Dimensions of Self-Similar Fractal Strings
3. Complex Dimensions of Nonlattice Self-Similar Strings
4. Generalized Fractal Strings Viewed as Measures
5. Explicit Formulas for Generalized Fractal Strings
6. The Geometry and the Spectrum of Fractal Strings
7. Periodic Orbits of Self-Similar Flows
8. Fractal Tube Formulas
9. Riemann Hypothesis and Inverse Spectral Problems
10. Generalized Cantor Strings and their Oscillations
11. Critical Zero of Zeta Functions
12 Fractality and Complex Dimensions
13. Recent Results and Perspectives
Appendix A. Zeta Functions in Number Theory
Appendix B. Zeta Functions of Laplacians and Spectral Asymptotics
Appendix C. An Application of Nevanlinna Theory
Bibliography
Author Index
Subject Index
Index of Symbols
Conventions
Acknowledgements
Preface
Overview
Introduction
4.

電子ブック
ＥＢ
4. From Fourier Analysis and Number Theory to Radon Transforms and Geometry : In Memory of Leon Ehrenpreis
edited by Hershel M. Farkas, Robert C. Gunning, Marvin I. Knopp, B. A. Taylor
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Developments in Mathematics ; 28
オンライン: http://dx.doi.org/10.1007/978-1-4614-4075-8
所蔵情報: loading…
目次情報: 続きを見る
Preface. Biographical Sketch of Leon Ehrenpreis (Yael Ehrenpreis Meyer)
Differences of Partition Functions - The Anti-Telescoping Method(G.E. Andrews)
The Extremal Plurisubharmonic Function for Linear Growth (D. Bainbridge)
Mahonian Partition Identities Via Polyhedral Geometry (M. Beck, B. Braun, N. Le)
Second Order Modular Forms with Characters (T. Blann, N. Diamantis)
Disjointness of Moebius From Horocycle Flows (J. Bourgain, P. Sarnak, T. Zeigler)
Duality and Differential Operators for Harmonic MAASS Forms (K. Bringmann, B. Kane, R.C. Rhoades)
Function Theory Related to the Group PSL2(R) (R. Bruggeman, J. Lewis, D. Zagier)
Analysis of Degenerate Diffusion Operators Arising in Population Biology (C.L. Epstein, R. Mazzeo)
A Matrix Related to the Theorem of Fermat and the Goldbach Conjecture (H.M. Farkas)
Continuous Solutions of Linear Equations (C. Fefferman, J. Kollár)
Recurrence for Stationary Group Actions (H. Furstenberg, E. Glasner)
On the Honda—Kaneko Congruences (P. Guerzhoy)
Some Intrinsic Constructions on Compact Riemann Surfaces (Robert C. Gunning)
The Parallel Refractor (C.E. Gutiérrez, F. Tournier)
On a Theorem of N. Katz and Bases in Irreducible Representations (D. Kazhdan)
Vector-valued Modular Forms with an Unnatural Boundary (M. Knopp, G. Mason)
Loss of Derivatives (J.J. Kohn)
On an Oscillatory Result for the Coefficients of General Dirichlet Series (W. Kohnen, W. de Azevedo Pribitkin)
Representation Varieties of Fucsian Groups (M. Larsen, Alexander Lubotzky)
Two Embedding Theorems (G.A. Mendoza)
Cubature Formulas and Discrete Fourier Transform on Compact Manifolds (I. Z. Pesenson, D. Geller)
The Moment Zeta Function and Applications (I. Rivin)
A Transcendence Criterion for CM on Some Families of Calabi—Yau Manifolds (P. Tretkoff)
Ehrenpreis and the Fundamental Principle (F. Treves)
Minimal Entire Functions (B. Weiss)
A Conjecture by Leon Ehrenpreis about Zeroes of Exponential Polynomials (A. Yger)
The Discrete Analog of the Malgrange—Ehrenpreis Theorem (D. Zeilberger)
The Legacy of Leon Ehrenpreis
PhD Students
Publications of Leon Ehrenpreis
Preface. Biographical Sketch of Leon Ehrenpreis (Yael Ehrenpreis Meyer)
Differences of Partition Functions - The Anti-Telescoping Method(G.E. Andrews)
The Extremal Plurisubharmonic Function for Linear Growth (D. Bainbridge)
5.

電子ブック
ＥＢ
5. Recent Advances in Harmonic Analysis and Applications : In Honor of Konstantin Oskolkov
edited by Dmitriy Bilyk, Laura De Carli, Alexander Petukhov, Alexander M. Stokolos, Brett D. Wick
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 25
オンライン: http://dx.doi.org/10.1007/978-1-4614-4565-4
所蔵情報: loading…
6.

電子ブック
ＥＢ
6. The Strength of Nonstandard Analysis
edited by Imme Berg, Vítor Neves
出版情報: Vienna : Springer-Verlag Wien, 2007
オンライン: http://dx.doi.org/10.1007/978-3-211-49905-4
所蔵情報: loading…
7.

電子ブック
ＥＢ
7. Nonlinear Oscillations of Hamiltonian PDEs
by Massimiliano Berti
出版情報: Boston, MA : Birkhäuser Boston, 2007
シリーズ名: Progress in Nonlinear Differential Equations and Their Applications ; 74
オンライン: http://dx.doi.org/10.1007/978-0-8176-4681-3
所蔵情報: loading…
8.

電子ブック
ＥＢ
8. Alternative Pseudodifferential Analysis : With an Application to Modular Forms
by André Unterberger
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008
シリーズ名: Lecture Notes in Mathematics ; 1935
オンライン: http://dx.doi.org/10.1007/978-3-540-77911-7
所蔵情報: loading…
目次情報: 続きを見る
Preface
Introduction
The Metaplectic and Anaplectic Representations
The One-dimensional Alternative Pseudodifferential Analysis
From Anaplectic Analysis to Usual Analysis
Pseudodifferential Analysis and Modular Forms
Index
Bibliography
Preface
Introduction
The Metaplectic and Anaplectic Representations