Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory

Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory
Title Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory PDF eBook
Author Daniel Alpay
Publisher Springer Nature
Pages 578
Release 2020-09-19
Genre Mathematics
ISBN 3030448193

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This book is dedicated to Victor Emmanuilovich Katsnelson on the occasion of his 75th birthday and celebrates his broad mathematical interests and contributions.Victor Emmanuilovich’s mathematical career has been based mainly at the Kharkov University and the Weizmann Institute. However, it also included a one-year guest professorship at Leipzig University in 1991, which led to him establishing close research contacts with the Schur analysis group in Leipzig, a collaboration that still continues today. Reflecting these three periods in Victor Emmanuilovich's career, present and former colleagues have contributed to this book with research inspired by him and presentations on their joint work. Contributions include papers in function theory (Favorov-Golinskii, Friedland-Goldman-Yomdin, Kheifets-Yuditskii) , Schur analysis, moment problems and related topics (Boiko-Dubovoy, Dyukarev, Fritzsche-Kirstein-Mädler), extension of linear operators and linear relations (Dijksma-Langer, Hassi-de Snoo, Hassi -Wietsma) and non-commutative analysis (Ball-Bolotnikov, Cho-Jorgensen).

System Theory, the Schur Algorithm and Multidimensional Analysis

System Theory, the Schur Algorithm and Multidimensional Analysis
Title System Theory, the Schur Algorithm and Multidimensional Analysis PDF eBook
Author Daniel Alpay
Publisher Springer Science & Business Media
Pages 331
Release 2007-06-28
Genre Mathematics
ISBN 376438137X

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This volume contains six peer-refereed articles written on the occasion of the workshop Operator theory, system theory and scattering theory: multidimensional generalizations and related topics, held at the Department of Mathematics of the Ben-Gurion University of the Negev in June, 2005. The book will interest a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists.

Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis

Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis
Title Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis PDF eBook
Author Daniel Alpay
Publisher Springer Nature
Pages 424
Release 2023-04-11
Genre Mathematics
ISBN 3031214609

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This book features a collection of papers by plenary, semi-plenary and invited contributors at IWOTA2021, held at Chapman University in hybrid format in August 2021. The topics span areas of current research in operator theory, mathematical physics, and complex analysis.

New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative

New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative
Title New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative PDF eBook
Author Daniel Alpay
Publisher Springer Nature
Pages 389
Release 2022-01-01
Genre Mathematics
ISBN 3030764737

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This volume presents selected contributions from experts gathered at Chapman University for a conference held in November 2019 on new directions in function theory. The papers, written by leading researchers in the field, relate to hypercomplex analysis, Schur analysis and de Branges spaces, new aspects of classical function theory, and infinite dimensional analysis. Signal processing constitutes a strong presence in several of the papers.A second volume in this series of conferences, this book will appeal to mathematicians interested in learning about new fields of development in function theory.

Noncommutative Function-Theoretic Operator Theory and Applications

Noncommutative Function-Theoretic Operator Theory and Applications
Title Noncommutative Function-Theoretic Operator Theory and Applications PDF eBook
Author Joseph A. Ball
Publisher Cambridge University Press
Pages 440
Release 2021-12-16
Genre Mathematics
ISBN 1009020102

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This concise monograph explores how core ideas in Hardy space function theory and operator theory continue to be useful and informative in new settings, leading to new insights for noncommutative multivariable operator theory. Beginning with a review of the confluence of system theory ideas and reproducing kernel techniques, the book then covers representations of backward-shift-invariant subspaces in the Hardy space as ranges of observability operators, and representations for forward-shift-invariant subspaces via a Beurling–Lax representer equal to the transfer function of the linear system. This pair of backward-shift-invariant and forward-shift-invariant subspace form a generalized orthogonal decomposition of the ambient Hardy space. All this leads to the de Branges–Rovnyak model theory and characteristic operator function for a Hilbert space contraction operator. The chapters that follow generalize the system theory and reproducing kernel techniques to enable an extension of the ideas above to weighted Bergman space multivariable settings.

Interpolation Theory, Systems Theory and Related Topics

Interpolation Theory, Systems Theory and Related Topics
Title Interpolation Theory, Systems Theory and Related Topics PDF eBook
Author Daniel Alpay
Publisher Birkhäuser
Pages 420
Release 2012-12-06
Genre Mathematics
ISBN 3034882157

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This volume is dedicated to Harry Dym, a leading expert in operator theory, on the occasion of his sixtieth birthday. The book opens with an autobiographical sketch, a list of publications and a personal account of I. Gohberg on his collaboration with Harry Dym. The mathematical papers cover Krein space operator theory, Schur analysis and interpolation, several complex variables and Riemann surfaces, matrix theory, system theory, and differential equations and mathematical physics. The book is of interest to a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists.

Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations

Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations
Title Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations PDF eBook
Author Daniel Alpay
Publisher Springer Science & Business Media
Pages 332
Release 2005-03-22
Genre Mathematics
ISBN 9783764372125

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This volume contains a selection of papers, from experts in the area, on multidimensional operator theory. Topics considered include the non-commutative case, function theory in the polydisk, hyponormal operators, hyperanalytic functions, and holomorphic deformations of linear differential equations. Operator Theory, Systems Theory and Scattering Theory will be of interest to a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists.