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: 3764373032
Category : Mathematics
Languages : en
Pages : 323

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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.

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: 3764373032
Category : Mathematics
Languages : en
Pages : 323

Get Book Here

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.

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: 3764381361
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.

Operator Theory on Noncommutative Domains

Operator Theory on Noncommutative Domains PDF Author: Gelu Popescu
Publisher: American Mathematical Soc.
ISBN: 0821847104
Category : Mathematics
Languages : en
Pages : 137

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Book Description
"Volume 205, number 964 (third of 5 numbers)."

Lax-Phillips Scattering and Conservative Linear Systems: A Cuntz-Algebra Multidimensional Setting

Lax-Phillips Scattering and Conservative Linear Systems: A Cuntz-Algebra Multidimensional Setting PDF Author: Joseph A. Ball
Publisher: American Mathematical Soc.
ISBN: 0821837680
Category : Mathematics
Languages : en
Pages : 114

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Book Description
The evolution operator for the Lax-Phillips scattering system is an isometric representation of the Cuntz algebra, while the nonnegative time axis for the conservative, linear system is the free semigroup on $d$ letters. This title presents a multivariable setting for Lax-Phillips scattering and for conservative, discrete-time, linear systems.

Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2)

Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2) PDF Author: María Cristina Pereyra
Publisher: Springer
ISBN: 3319515934
Category : Mathematics
Languages : en
Pages : 469

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Book Description
This book is the second of a two volume series. Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book features fully-refereed, high-quality papers exploring new results and trends in weighted norm inequalities, Schur-Agler class functions, complex analysis, dynamical systems, and dyadic harmonic analysis. Graduate students and researchers in analysis will find inspiration in the articles collected in this volume, which emphasize the remarkable connections between harmonic analysis and operator theory. A survey of the two weight problem for the Hilbert transform and an expository article on the Clark model to the case of non-singular measures and applications to the study of rank-one perturbations are included. The material for this volume is based on the 13th New Mexico Analysis Seminar held at the University of New Mexico, April 3-4, 2014 and on several special sections of the Western Spring Sectional Meeting at the University of New Mexico, April 4-6,2014. During the event, participants honored the memory of Cora Sadosky—a great mathematician who recently passed away and who made significant contributions to the field of harmonic analysis. Cora was an exceptional scientist and human being. She was a world expert in harmonic analysis and operator theory, publishing over fifty-five research papers and authoring a major textbook in the field. Participants of the conference include new and senior researchers, recent doctorates as well as leading experts in the area.

The State Space Method

The State Space Method PDF Author: Daniel Alpay
Publisher: Springer Science & Business Media
ISBN: 9783764373702
Category : Language Arts & Disciplines
Languages : en
Pages : 292

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Book Description
The state space method developed in the last decades allows us to study the theory of linear systems by using tools from the theory of linear operators; conversely, it had a strong influence on operator theory introducing new questions and topics. The present volume contains a collection of essays representing some of the recent advances in the state space method. Methods covered include noncommutative systems theory, new aspects of the theory of discrete systems, discrete analogs of canonical systems, and new applications to the theory of Bezoutiants and convolution equations. The articles in the volume will be of interest to pure and applied mathematicians, electrical engineers and theoretical physicists.

Characteristic Functions, Scattering Functions and Transfer Functions

Characteristic Functions, Scattering Functions and Transfer Functions PDF Author: Daniel Alpay
Publisher: Springer Science & Business Media
ISBN: 3034601832
Category : Mathematics
Languages : en
Pages : 393

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Book Description
Transfer functions and characteristic functions proved to be key in operator theory and system theory. Moshe Livic played a major role in developing these functions, and this book of papers dedicated to his memory covers a wide variety of topics in the field.

Recent Advances in Operator Theory and Its Applications

Recent Advances in Operator Theory and Its Applications PDF Author: Israel Gohberg
Publisher: Springer Science & Business Media
ISBN: 9783764372903
Category : Mathematics
Languages : en
Pages : 496

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Book Description
This book contains a selection of carefully refereed research papers, most of which were presented at the fourteenth International Workshop on Operator Theory and its Applications (IWOTA), held at Cagliari, Italy, from June 24-27, 2003. The papers, many of which have been written by leading experts in the field, concern a wide variety of topics in modern operator theory and applications, with emphasis on differential operators and numerical methods. The book will be of interest to a wide audience of pure and applied mathematicians and engineers.

Complex Analysis and Dynamical Systems III

Complex Analysis and Dynamical Systems III PDF Author: Mark Lʹvovich Agranovskiĭ
Publisher: American Mathematical Soc.
ISBN: 0821841505
Category : Mathematics
Languages : en
Pages : 482

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Book Description
The papers in this volume cover a wide variety of topics in the geometric theory of functions of one and several complex variables, including univalent functions, conformal and quasiconformal mappings, minimal surfaces, and dynamics in infinite-dimensional spaces. In addition, there are several articles dealing with various aspects of approximation theory and partial differential equations. Taken together, the articles collected here provide the reader with a panorama of activity in complex analysis, drawn by a number of leading figures in the field.

Wavelets, Multiscale Systems and Hypercomplex Analysis

Wavelets, Multiscale Systems and Hypercomplex Analysis PDF Author: Daniel Alpay
Publisher: Springer Science & Business Media
ISBN: 3764375884
Category : Mathematics
Languages : en
Pages : 197

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Book Description
This volume contains a selection of papers on the topics of Clifford analysis and wavelets and multiscale analysis, the latter being understood in a very wide sense. The theory of wavelets is mathematically rich and has many practical applications. Most of the articles have been written on invitation and they provide a unique collection of material, particularly relating to Clifford analysis and the theory of wavelets.