Interpolation Schur Functions And Moment Problems Ii

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Interpolation, Schur Functions and Moment Problems II

Daniel Alpay,Bernd Kirstein
Interpolation Schur Functions and Moment Problems II Book PDF

Author : Daniel Alpay,Bernd Kirstein
Publisher : Springer Science & Business Media
Page : 302 pages
File Size : 44,7 Mb
Release : 2012-07-25
Category : Mathematics
ISBN : 9783034804288

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Interpolation, Schur Functions and Moment Problems II by Daniel Alpay,Bernd Kirstein Pdf

The origins of Schur analysis lie in a 1917 article by Issai Schur in which he constructed a numerical sequence to correspond to a holomorphic contractive function on the unit disk. These sequences are now known as Schur parameter sequences. Schur analysis has grown significantly since its beginnings in the early twentieth century and now encompasses a wide variety of problems related to several classes of holomorphic functions and their matricial generalizations. These problems include interpolation and moment problems as well as Schur parametrization of particular classes of contractive or nonnegative Hermitian block matrices. This book is primarily devoted to topics related to matrix versions of classical interpolation and moment problems. The major themes include Schur analysis of nonnegative Hermitian block Hankel matrices and the construction of Schur-type algorithms. This book also covers a number of recent developments in orthogonal rational matrix functions, matrix-valued Carathéodory functions and maximal weight solutions for particular matricial moment problems on the unit circle.​

Interpolation, Schur Functions and Moment Problems

Daniel Alpay,Israel Gohberg
Interpolation Schur Functions and Moment Problems Book PDF

Author : Daniel Alpay,Israel Gohberg
Publisher : Springer Science & Business Media
Page : 304 pages
File Size : 40,6 Mb
Release : 2006-06-22
Category : Mathematics
ISBN : 9783764375478

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Interpolation, Schur Functions and Moment Problems by Daniel Alpay,Israel Gohberg Pdf

Schur analysis originated with an 1917 article which associated to a function, which is analytic and contractive in the open unit disk, a sequence, finite or infinite, of numbers in the open unit disk, called Schur coefficients, often named reflection coefficients in signal processing. This volume comprises seven essays dedicated to the analysis of Schur and Carathéodory functions and to the solutions of problems for these classes.

Interpolation, Schur Functions and Moment Problems

Daniel Alpay,Israel Gohberg
Interpolation Schur Functions and Moment Problems Book PDF

Author : Daniel Alpay,Israel Gohberg
Publisher : Birkhäuser
Page : 304 pages
File Size : 41,8 Mb
Release : 2009-09-03
Category : Mathematics
ISBN : 3764391162

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Interpolation, Schur Functions and Moment Problems by Daniel Alpay,Israel Gohberg Pdf

Schur analysis originated with an 1917 article which associated to a function, which is analytic and contractive in the open unit disk, a sequence, finite or infinite, of numbers in the open unit disk, called Schur coefficients, often named reflection coefficients in signal processing. This volume comprises seven essays dedicated to the analysis of Schur and Carathéodory functions and to the solutions of problems for these classes.

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

Daniel Alpay,Ronen Peretz,David Shoikhet,Mihaela B. Vajiac
New Directions in Function Theory From Complex to Hypercomplex to Non Commutative Book PDF

Author : Daniel Alpay,Ronen Peretz,David Shoikhet,Mihaela B. Vajiac
Publisher : Springer Nature
Page : 389 pages
File Size : 45,7 Mb
Release : 2022-01-01
Category : Mathematics
ISBN : 9783030764739

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New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative by Daniel Alpay,Ronen Peretz,David Shoikhet,Mihaela B. Vajiac Pdf

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.

Recent Advances in Inverse Scattering, Schur Analysis and Stochastic Processes

Daniel Alpay,Bernd Kirstein
Recent Advances in Inverse Scattering Schur Analysis and Stochastic Processes Book PDF

Author : Daniel Alpay,Bernd Kirstein
Publisher : Birkhäuser
Page : 394 pages
File Size : 40,8 Mb
Release : 2015-04-30
Category : Mathematics
ISBN : 9783319103358

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Recent Advances in Inverse Scattering, Schur Analysis and Stochastic Processes by Daniel Alpay,Bernd Kirstein Pdf

The volume is dedicated to Lev Sakhnovich, who made fundamental contributions in operator theory and related topics. Besides bibliographic material, it includes a number of selected papers related to Lev Sakhnovich's research interests. The papers are related to operator identities, moment problems, random matrices and linear stochastic systems.

Advances in Complex Analysis and Operator Theory

Fabrizio Colombo,Irene Sabadini,Daniele C. Struppa,Mihaela B. Vajiac
Advances in Complex Analysis and Operator Theory Book PDF

Author : Fabrizio Colombo,Irene Sabadini,Daniele C. Struppa,Mihaela B. Vajiac
Publisher : Birkhäuser
Page : 398 pages
File Size : 53,5 Mb
Release : 2017-09-30
Category : Mathematics
ISBN : 9783319623627

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Advances in Complex Analysis and Operator Theory by Fabrizio Colombo,Irene Sabadini,Daniele C. Struppa,Mihaela B. Vajiac Pdf

This book gathers contributions written by Daniel Alpay’s friends and collaborators. Several of the papers were presented at the International Conference on Complex Analysis and Operator Theory held in honor of Professor Alpay’s 60th birthday at Chapman University in November 2016. The main topics covered are complex analysis, operator theory and other areas of mathematics close to Alpay’s primary research interests. The book is recommended for mathematicians from the graduate level on, working in various areas of mathematical analysis, operator theory, infinite dimensional analysis, linear systems, and stochastic processes.

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

Daniel Alpay,Bernd Fritzsche,Bernd Kirstein
Complex Function Theory Operator Theory Schur Analysis and Systems Theory Book PDF

Author : Daniel Alpay,Bernd Fritzsche,Bernd Kirstein
Publisher : Springer Nature
Page : 578 pages
File Size : 48,7 Mb
Release : 2020-09-19
Category : Mathematics
ISBN : 9783030448196

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Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory by Daniel Alpay,Bernd Fritzsche,Bernd Kirstein Pdf

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).

Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics

Dario A. Bini,Torsten Ehrhardt,Alexei Yu. Karlovich,Ilya Spitkovsky
Large Truncated Toeplitz Matrices Toeplitz Operators and Related Topics Book PDF

Author : Dario A. Bini,Torsten Ehrhardt,Alexei Yu. Karlovich,Ilya Spitkovsky
Publisher : Birkhäuser
Page : 740 pages
File Size : 50,5 Mb
Release : 2017-03-21
Category : Mathematics
ISBN : 9783319491820

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Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics by Dario A. Bini,Torsten Ehrhardt,Alexei Yu. Karlovich,Ilya Spitkovsky Pdf

This book presents a collection of expository and research papers on various topics in matrix and operator theory, contributed by several experts on the occasion of Albrecht Böttcher’s 60th birthday. Albrecht Böttcher himself has made substantial contributions to the subject in the past. The book also includes a biographical essay, a complete bibliography of Albrecht Böttcher’s work and brief informal notes on personal encounters with him. The book is of interest to graduate and advanced undergraduate students majoring in mathematics, researchers in matrix and operator theory as well as engineers and applied mathematicians.

Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations

Daniel Alpay,Bernd Kirstein
Indefinite Inner Product Spaces Schur Analysis and Differential Equations Book PDF

Author : Daniel Alpay,Bernd Kirstein
Publisher : Birkhäuser
Page : 495 pages
File Size : 50,6 Mb
Release : 2018-01-30
Category : Mathematics
ISBN : 9783319688497

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Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations by Daniel Alpay,Bernd Kirstein Pdf

This volume, which is dedicated to Heinz Langer, includes biographical material and carefully selected papers. Heinz Langer has made fundamental contributions to operator theory. In particular, he has studied the domains of operator pencils and nonlinear eigenvalue problems, the theory of indefinite inner product spaces, operator theory in Pontryagin and Krein spaces, and applications to mathematical physics. His works include studies on and applications of Schur analysis in the indefinite setting, where the factorization theorems put forward by Krein and Langer for generalized Schur functions, and by Dijksma-Langer-Luger-Shondin, play a key role. The contributions in this volume reflect Heinz Langer’s chief research interests and will appeal to a broad readership whose work involves operator theory.

Topics in Operator Theory

Joseph A. Ball,Vladimir Bolotnikov,J. William Helton,Leiba Rodman,Ilya M. Spitkovsky
Topics in Operator Theory Book PDF

Author : Joseph A. Ball,Vladimir Bolotnikov,J. William Helton,Leiba Rodman,Ilya M. Spitkovsky
Publisher : Springer Science & Business Media
Page : 600 pages
File Size : 53,6 Mb
Release : 2011-02-09
Category : Mathematics
ISBN : 9783034601580

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Topics in Operator Theory by Joseph A. Ball,Vladimir Bolotnikov,J. William Helton,Leiba Rodman,Ilya M. Spitkovsky Pdf

This is the first volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications.

An Advanced Complex Analysis Problem Book

Daniel Alpay
An Advanced Complex Analysis Problem Book Book PDF

Author : Daniel Alpay
Publisher : Birkhäuser
Page : 521 pages
File Size : 50,8 Mb
Release : 2015-11-13
Category : Mathematics
ISBN : 9783319160597

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An Advanced Complex Analysis Problem Book by Daniel Alpay Pdf

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.

Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations

Wolfgang Arendt,Joseph A. Ball,Jussi Behrndt,Karl-Heinz Förster,Volker Mehrmann,Carsten Trunk
Spectral Theory Mathematical System Theory Evolution Equations Differential and Difference Equations Book PDF

Author : Wolfgang Arendt,Joseph A. Ball,Jussi Behrndt,Karl-Heinz Förster,Volker Mehrmann,Carsten Trunk
Publisher : Springer Science & Business Media
Page : 684 pages
File Size : 45,8 Mb
Release : 2012-06-15
Category : Mathematics
ISBN : 9783034802970

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Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations by Wolfgang Arendt,Joseph A. Ball,Jussi Behrndt,Karl-Heinz Förster,Volker Mehrmann,Carsten Trunk Pdf

The present volume contains a collection of original research articles and expository contributions on recent developments in operator theory and its multifaceted applications. They cover a wide range of themes from the IWOTA 2010 conference held at the TU Berlin, Germany, including spectral theory, function spaces, mathematical system theory, evolution equations and semigroups, and differential and difference operators. The book encompasses new trends and various modern topics in operator theory, and serves as a useful source of information to mathematicians, scientists and engineers.

Advancements in Complex Analysis

Daniel Breaz,Michael Th. Rassias
Advancements in Complex Analysis Book PDF

Author : Daniel Breaz,Michael Th. Rassias
Publisher : Springer Nature
Page : 538 pages
File Size : 55,8 Mb
Release : 2020-05-12
Category : Mathematics
ISBN : 9783030401207

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Advancements in Complex Analysis by Daniel Breaz,Michael Th. Rassias Pdf

The contributions to this volume are devoted to a discussion of state-of-the-art research and treatment of problems of a wide spectrum of areas in complex analysis ranging from pure to applied and interdisciplinary mathematical research. Topics covered include: holomorphic approximation, hypercomplex analysis, special functions of complex variables, automorphic groups, zeros of the Riemann zeta function, Gaussian multiplicative chaos, non-constant frequency decompositions, minimal kernels, one-component inner functions, power moment problems, complex dynamics, biholomorphic cryptosystems, fermionic and bosonic operators. The book will appeal to graduate students and research mathematicians as well as to physicists, engineers, and scientists, whose work is related to the topics covered.

System Theory, the Schur Algorithm and Multidimensional Analysis

Daniel Alpay,Victor Vinnikov
System Theory the Schur Algorithm and Multidimensional Analysis Book PDF

Author : Daniel Alpay,Victor Vinnikov
Publisher : Springer Science & Business Media
Page : 331 pages
File Size : 45,9 Mb
Release : 2007-03-20
Category : Mathematics
ISBN : 9783764381363

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System Theory, the Schur Algorithm and Multidimensional Analysis by Daniel Alpay,Victor Vinnikov Pdf

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.

Slice Hyperholomorphic Schur Analysis

Daniel Alpay,Fabrizio Colombo,Irene Sabadini
Slice Hyperholomorphic Schur Analysis Book PDF

Author : Daniel Alpay,Fabrizio Colombo,Irene Sabadini
Publisher : Birkhäuser
Page : 362 pages
File Size : 52,6 Mb
Release : 2016-12-09
Category : Mathematics
ISBN : 9783319425146

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Slice Hyperholomorphic Schur Analysis by Daniel Alpay,Fabrizio Colombo,Irene Sabadini Pdf

This book defines and examines the counterpart of Schur functions and Schur analysis in the slice hyperholomorphic setting. It is organized into three parts: the first introduces readers to classical Schur analysis, while the second offers background material on quaternions, slice hyperholomorphic functions, and quaternionic functional analysis. The third part represents the core of the book and explores quaternionic Schur analysis and its various applications. The book includes previously unpublished results and provides the basis for new directions of research.