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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. 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. 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.

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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. 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
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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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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
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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
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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.

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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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11.

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11. 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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12.

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12. System Theory and Multidimensional Analysis
edited by Daniel Alpay, Victor Vinnikov
出版情報: Basel : Birkhäuser Verlag AG, 2007
シリーズ名: Operator Theory: Advances and Applications ; 176
オンライン: http://dx.doi.org/10.1007/978-3-7643-8137-0
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13. Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory : A Volume in Honor of V.E. Katsnelson. 1st ed. 2020
edited by Daniel Alpay, Bernd Fritzsche, Bernd Kirstein
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2020
シリーズ名: Linear Operators and Linear Systems ; 280
オンライン: https://doi.org/10.1007/978-3-030-44819-6
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目次情報: 続きを見る
Victor comes to Rehovot
My Teacher Viktor Emmanuilovich Katsnelson
Some impressions of Viktor Emmanuilovich Katsnelson
The good fortune of maintaining a long-lasting close friendship and scientic collaboration with V. E. Katsnelson
A piece of Victor Katsnelsons mathematical biography
Interpolation by contractive multipliers between Fock spaces
Regular extensions and defect functions of contractive measurable operator-valued functions
Free-homomorphic relations induced by certain free semicircular families
Self-adjoint extensions of a symmetric linear relation with nite defect: compressions and Straus subspaces
On conditions for complete indeterminacy of the matricial Hamburger moment problem
On a Blaschke-type condition for subharmonic function with two sets of singularities on the boundary
Exponential Taylor domination
A closer look at the solution of the truncated matricial moment problem
On a class of sectorial relations and the associated closed forms
Spectral decompositions of selfadjoint relations in Pontryagin spaces and factorizations of generalized Nevanlinna functions
Martin functions of Fuchsian groups and character automorphic subspaces of the Hardy space in the upper half-plane
Victor comes to Rehovot
My Teacher Viktor Emmanuilovich Katsnelson
Some impressions of Viktor Emmanuilovich Katsnelson
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14. Quaternionic de Branges Spaces and Characteristic Operator Function. 1st ed. 2020
by Daniel Alpay, Fabrizio Colombo, Irene Sabadini
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-38312-1
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目次情報: 続きを見る
Preliminaries
Quaternions and matrices
Slice hyperholomorphic functions
Rational functions
Operator models
Structure theorems for H(A;B) spaces
J-contractive functions
The characteristic operator function
L() spaces and linear fractional transformations
Canonical differential systems
Preliminaries
Quaternions and matrices
Slice hyperholomorphic functions
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15. New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative : Chapman University, November 2019. 1st ed. 2021
edited by Daniel Alpay, Ronen Peretz, David Shoikhet, Mihaela B. Vajiac
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
シリーズ名: Linear Operators and Linear Systems ; 286
オンライン: https://doi.org/10.1007/978-3-030-76473-9
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目次情報: 続きを見る
Editorial Introduction
On Parseval Frames of Kernel Functions in de Branges Spaces of Entire Vector Valued Functions
Differential Subordinations in Harmonic Mappings
The Segal-Bargmann Transform in Clifford Analysis
On the Carathéodory-Fejér interpolation problem for Stieltjes functions
Harmonic Analysis of some arithmetical functions
Symmetric measures, continuous networks, and dynamics
Multi Variable Semicircular Processes From - Homomorphisms and Operators
Representation formulae for the determinant in a neighborhood of the identity
Parametrization of the Solution Set of a Matricial Truncated Hamburger Moment Problem by a Schur Type Algorithm
The Wiener algebra and singular integrals
Techniques to derive estimates for integral means and other geometric quantities related to conformal mappings
Complex Ternary Analysis and Applications
Editorial Introduction
On Parseval Frames of Kernel Functions in de Branges Spaces of Entire Vector Valued Functions
Differential Subordinations in Harmonic Mappings