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

Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory PDF Author: Daniel Alpay
Publisher: Springer Nature
ISBN: 3030448193
Category : Mathematics
Languages : en
Pages : 578

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Book Description
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).

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

Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory PDF Author: Daniel Alpay
Publisher: Springer Nature
ISBN: 3030448193
Category : Mathematics
Languages : en
Pages : 578

Get Book

Book Description
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).

Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis

Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis PDF Author: Daniel Alpay
Publisher: Springer Nature
ISBN: 3031214609
Category : Mathematics
Languages : en
Pages : 424

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Book Description
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.

System Theory, the Schur Algorithm and Multidimensional Analysis

System Theory, the Schur Algorithm and Multidimensional Analysis PDF Author: Daniel Alpay
Publisher: Springer Science & Business Media
ISBN: 376438137X
Category : Mathematics
Languages : en
Pages : 331

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Book Description
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.

Interpolation Theory, Systems Theory and Related Topics

Interpolation Theory, Systems Theory and Related Topics PDF Author: Daniel Alpay
Publisher: Birkhäuser
ISBN: 3034882157
Category : Mathematics
Languages : en
Pages : 420

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Book Description
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.

An Advanced Complex Analysis Problem Book

An Advanced Complex Analysis Problem Book PDF Author: Daniel Alpay
Publisher: Birkhäuser
ISBN: 3319160591
Category : Mathematics
Languages : en
Pages : 521

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Book Description
This is an exercises book at the beginning graduate level, whose aim is to illustrate some of the connections between functional analysis and the theory of functions of one variable. A key role is played by the notions of positive definite kernel and of reproducing kernel Hilbert space. A number of facts from functional analysis and topological vector spaces are surveyed. Then, various Hilbert spaces of analytic functions are studied.

Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations

Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations PDF Author: Daniel Alpay
Publisher: Springer Science & Business Media
ISBN: 9783764372125
Category : Mathematics
Languages : en
Pages : 332

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Book Description
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.

Noncommutative Function-Theoretic Operator Theory and Applications

Noncommutative Function-Theoretic Operator Theory and Applications PDF Author: Joseph A. Ball
Publisher: Cambridge University Press
ISBN: 1009020102
Category : Mathematics
Languages : en
Pages : 440

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Book Description
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.

Exercises in Applied Mathematics

Exercises in Applied Mathematics PDF Author: Daniel Alpay
Publisher: Springer Nature
ISBN: 3031518225
Category :
Languages : en
Pages : 694

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Book Description


Current Trends in Operator Theory and its Applications

Current Trends in Operator Theory and its Applications PDF Author: Joseph A. Ball
Publisher: Birkhäuser
ISBN: 3034878818
Category : Mathematics
Languages : en
Pages : 604

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Book Description
Many developments on the cutting edge of research in operator theory and its applications are reflected in this collection of original and review articles. Particular emphasis lies on highlighting the interplay between operator theory and applications from other areas, such as multi-dimensional systems and function theory of several complex variables, distributed parameter systems and control theory, mathematical physics, wavelets, and numerical analysis.

Operator Theory, Functional Analysis and Applications

Operator Theory, Functional Analysis and Applications PDF Author: M. Amélia Bastos
Publisher: Springer Nature
ISBN: 3030519457
Category : Mathematics
Languages : en
Pages : 654

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Book Description
This book presents 30 articles on the topic areas discussed at the 30th “International Workshop on Operator Theory and its Applications”, held in Lisbon in July 2019. The contributions include both expository essays and original research papers reflecting recent advances in the traditional IWOTA areas and emerging adjacent fields, as well as the applications of Operator Theory and Functional Analysis. The topics range from C*–algebras and Banach *–algebras, Sturm-Liouville theory, integrable systems, dilation theory, frame theory, Toeplitz, Hankel, and singular integral operators, to questions from lattice, group and matrix theories, complex analysis, harmonic analysis, and function spaces. Given its scope, the book is chiefly intended for researchers and graduate students in the areas of Operator Theory, Functional Analysis, their applications and adjacent fields.