Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations

Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations
Author: Daniel Alpay
Publisher: Springer Science & Business Media
Total Pages: 323
Release: 2006-03-30
Genre: Mathematics
ISBN: 3764373032

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
Author: Daniel Alpay
Publisher: Springer Science & Business Media
Total Pages: 331
Release: 2007-03-20
Genre: Mathematics
ISBN: 3764381361

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.

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

Lax-Phillips Scattering and Conservative Linear Systems: A Cuntz-Algebra Multidimensional Setting
Author: Joseph A. Ball
Publisher: American Mathematical Soc.
Total Pages: 114
Release: 2005
Genre: Mathematics
ISBN: 0821837680

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)
Author: María Cristina Pereyra
Publisher: Springer
Total Pages: 469
Release: 2017-07-10
Genre: Mathematics
ISBN: 3319515934

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
Author: Daniel Alpay
Publisher: Springer Science & Business Media
Total Pages: 292
Release: 2006
Genre: Language Arts & Disciplines
ISBN: 9783764373702

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
Author: Daniel Alpay
Publisher: Springer Science & Business Media
Total Pages: 393
Release: 2010-01-12
Genre: Mathematics
ISBN: 3034601832

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
Author: Israel Gohberg
Publisher: Springer Science & Business Media
Total Pages: 496
Release: 2005-09-16
Genre: Mathematics
ISBN: 9783764372903

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.

Notions of Positivity and the Geometry of Polynomials

Notions of Positivity and the Geometry of Polynomials
Author: Petter Brändén
Publisher: Springer Science & Business Media
Total Pages: 413
Release: 2011-09-01
Genre: Mathematics
ISBN: 3034801424

The book consists of solicited articles from a select group of mathematicians and physicists working at the interface between positivity and the geometry, combinatorics or analysis of polynomials of one or several variables. It is dedicated to the memory of Julius Borcea (1968-2009), a distinguished mathematician, Professor at the University of Stockholm. With his extremely original contributions and broad vision, his impact on the topics of the planned volume cannot be underestimated. All contributors knew or have exchanged ideas with Dr. Borcea, and their articles reflect, at least partially, his heritage.

Complex Analysis and Dynamical Systems III

Complex Analysis and Dynamical Systems III
Author: Mark Lʹvovich Agranovskiĭ
Publisher: American Mathematical Soc.
Total Pages: 482
Release: 2008
Genre: Mathematics
ISBN: 0821841505

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.