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1.

電子ブック
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1. The State Space Method Generalizations and Applications
edited by Daniel Alpay, Israel Gohberg
出版情報: Basel : Birkhäuser Verlag, 2006
シリーズ名: Operator Theory: Advances and Applications ; 161
オンライン: http://dx.doi.org/10.1007/3-7643-7431-4
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2.

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2. Characteristic Functions, Scattering Functions and Transfer Functions : The Moshe Livsic Memorial Volume
edited by Daniel Alpay, Victor Vinnikov
出版情報: Basel : Birkhäuser Basel, 2010
シリーズ名: Operator Theory: Advances and Applications ; 197
オンライン: http://dx.doi.org/10.1007/978-3-0346-0183-2
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3.

電子ブック
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3. 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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4.

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4. Exponentially Dichotomous Operators and Applications
by Cornelis Mee ; edited by I. Gohberg, D. Alpay, J. Arazy, A. Atzmon, J. A. Ball, A. Ben-Artzi, H. Bercovici, A. Böottcher, K. Clancey, L. A. Coburn, R. E. Curto, K. R. Davidson, R. G. Douglas, A. Dijksma, H. Dym, P. A. Fuhrmann, B. Gramsch, J. A. Helton, M. A. Kaashoek, H. G. Kaper, S. T. Kuroda, P. Lancaster, L. E. Lerer, B. Mityagin, V. Olshevsky, M. Putinar, L. Rodman, J. Rovnyak, D. E. Sarason, I. M. Spitkovsky, S. Treil, H. Upmeier, S. M. Verduyn Lunel, D. Voiculescu, D. Xia, D. Yafaev, Daniel Alpay, Joseph A. Ball, André M. C. Ran
出版情報: Basel : Birkhäuser Verlag AG, 2008
シリーズ名: Operator Theory: Advances and Applications, Linear Operators and Linear Systems ; 182
オンライン: http://dx.doi.org/10.1007/978-3-7643-8732-7
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5.

電子ブック
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5. 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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6.

電子ブック
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6. 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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目次情報: 続きを見る
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
7.

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7. Recent Advances in Inverse Scattering, Schur Analysis and Stochastic Processes : A Collection of Papers Dedicated to Lev Sakhnovich
edited by Daniel Alpay, Bernd Kirstein
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015
シリーズ名: Operator Theory: Advances and Applications ; 244
オンライン: http://dx.doi.org/10.1007/978-3-319-10335-8
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目次情報: 続きを見る
Editorial Introduction
Part 1: Biographical Material and List of Publications of L.A. Sakhnovich
L.A. Sakhnovich – Biography
List of Publications of L.A. Sakhnovich
L.A. Sakhnovich My Teachers and Studies
Part 2: Reserach Papers
D. Alpay, F. Colombo and I. Sabadini: Inner Product Spaces and Krein Spaces in the Quaternionic Setting
D. Alpay, P. Jorgensen, I. Lewkowicz and I. Martziano: Infinite Product Representations for Kernels and Iterations of Functions
Y. Arlinski˘ı and S. Hassi: Q-functions and Boundary Triplets of Nonnegative Operators
S. Boiko, V. Dubovoy and A. Kheifets: On Some Special Cases of the Radon–Nikodym Theorem for Vector- and Operator-valued Measures
A.E. Frazho, S. ter Horst and M.A. Kaashoek: State Space Formulas for a Suboptimal Rational Leech Problem II: Parametrization of All Solutions
B. Fritzsche, B. Kirstein and C. Mädler: On a Simultaneous Approach to the Even and Odd Truncated Matricial Hamburger Moment Problems
F. Gesztesy and R. Nichols: A Jost–Pais-type Reduction of (Modified) Fredholm Determinants for Semi-separable Operators in Infinite Dimensions
K.A. Makarov and E. Tsekanovski˘i: On the Addition and Multiplication Theorems
J. Rovnyak and L.A. Sakhnovich: On Indefinite Cases of Operator Identities Which Arise in Interpolation Theory. II
A. Sakhnovich and L. Sakhnovich: Nonlinear Fokker–Planck Equation: Stability, Distance and the Corresponding Extremal Problem in the Spatially Inhomogeneous Case
Editorial Introduction
Part 1: Biographical Material and List of Publications of L.A. Sakhnovich
L.A. Sakhnovich – Biography
8.

電子ブック
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8. Operator Theory
edited by Daniel Alpay
出版情報: Basel : Springer Basel : Imprint: Springer, 2015
オンライン: http://dx.doi.org/10.1007/978-3-0348-0667-1
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目次情報: 続きを見る
General aspects of quaternionic and Clifford analysis
Further developments of quaternionic and Clifford analysis
Infinite dimensional analysis
Non-commutative theory
Multivariable operator theory
Reproducing kernel Hilbert spaces
de Branges spaces
Indefinite inner product spaces
Schur analysis
Linear system theory
General aspects of quaternionic and Clifford analysis
Further developments of quaternionic and Clifford analysis
Infinite dimensional analysis
9.

電子ブック
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9. An Advanced Complex Analysis Problem Book : Topological Vector Spaces, Functional Analysis, and Hilbert Spaces of Analytic Functions. 1st ed. 2015
by Daniel Alpay
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015
オンライン: http://dx.doi.org/10.1007/978-3-319-16059-7
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目次情報: 続きを見る
Prologue
Part I, Analytic functions
1 Some algebra
2 Exercises in complex variables
Part II, Topology and functional analysis
3 Topological spaces
4 Normed spaces
5 Locally convex topological vector spaces
6 Some functional analysis
Part III, Hilbert spaces of analytic functions
7 Reproducing kernel Hilbert spaces
8 Hardy spaces
9 de Branges-Rovnyak spaces
10 Bergman spaces
11 Fock spaces
Index
Name index
Notation index
Prologue
Part I, Analytic functions
1 Some algebra
10.

電子ブック
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10. Interpolation, Schur Functions and Moment Problems
edited by Daniel Alpay, Israel Gohberg
出版情報: Basel : Birkhäuser Verlag, 2006
シリーズ名: Operator Theory: Advances and Applications, Linear Operators and Linear Systems ; 165
オンライン: http://dx.doi.org/10.1007/3-7643-7547-7
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