Factorization Singular Operators And Related Problems

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Factorization, Singular Operators and Related Problems

Stefan Samko,Amarino Lebre,António F. dos Santos
Factorization Singular Operators and Related Problems Book PDF

Author : Stefan Samko,Amarino Lebre,António F. dos Santos
Publisher : Springer Science & Business Media
Page : 341 pages
File Size : 51,6 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9789401702270

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Factorization, Singular Operators and Related Problems by Stefan Samko,Amarino Lebre,António F. dos Santos Pdf

These proceedings comprise a large part of the papers presented at the In ternational Conference Factorization, Singular Operators and related problems, which was held from January 28 to February 1, 2002, at the University of th Madeira, Funchal, Portugal, to mark Professor Georgii Litvinchuk's 70 birth day. Experts in a variety of fields came to this conference to pay tribute to the great achievements of Professor Georgii Litvinchuk in the development of vari ous areas of operator theory. The main themes of the conference were focussed around the theory of singular type operators and factorization problems, but other topics such as potential theory and fractional calculus, to name but a couple, were also presented. The goal of the conference was to bring together mathematicians from var ious fields within operator theory and function theory in order to highlight recent advances in problems many of which were originally studied by Profes sor Litvinchuk and his scientific school. A second aim was to stimulate in ternational collaboration even further and promote the interaction of different approaches in current research in these areas. The Proceedings will be of great interest to researchers in Operator The ory, Real and Complex Analysis, Functional and Harmonic Analysis, Potential Theory, Fractional Calculus and other areas, as well as to graduate students looking for the latest results.

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 : 46,8 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.

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 : 50,5 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.

Recent Progress in Operator Theory and Its Applications

Joseph A. Ball,Raúl E. Curto,Sergei M. Grudsky,J. William Helton,Raúl Quiroga-Barranco,Nikolai Vasilevski
Recent Progress in Operator Theory and Its Applications Book PDF

Author : Joseph A. Ball,Raúl E. Curto,Sergei M. Grudsky,J. William Helton,Raúl Quiroga-Barranco,Nikolai Vasilevski
Publisher : Springer Science & Business Media
Page : 346 pages
File Size : 41,5 Mb
Release : 2012-02-24
Category : Mathematics
ISBN : 9783034803465

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Recent Progress in Operator Theory and Its Applications by Joseph A. Ball,Raúl E. Curto,Sergei M. Grudsky,J. William Helton,Raúl Quiroga-Barranco,Nikolai Vasilevski Pdf

This volume contains twenty-one solicited articles by speakers at the IWOTA 2009 workshop, ranging from expository surveys to original research papers, each carefully refereed. The contributions reflect recent developments in operator theory and its applications. Consistent with the topics of recent IWOTA meetings, IWOTA 2009 was designed as a comprehensive, inclusive conference covering all aspects of theoretical and applied operator theory, ranging from classical analysis, differential and integral equations, complex and harmonic analysis to mathematical physics, mathematical systems and control theory, signal processing and numerical analysis. The conference brought together international experts for a week-long stay at Hotel Real de Minas, in an atmosphere conducive to fruitful professional interactions. These Proceedings reflect the high quality of the papers presented at the conference.

Singular Integral Operators and Related Topics

A. Böttcher,I. Gohberg
Singular Integral Operators and Related Topics Book PDF

Author : A. Böttcher,I. Gohberg
Publisher : Birkhäuser
Page : 325 pages
File Size : 48,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034890403

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Singular Integral Operators and Related Topics by A. Böttcher,I. Gohberg Pdf

This volume contains a selection of papers on modern operator theory and its applications, arising from a joint workshop on linear one-dimensional singular integral equations. The book is of interest to a wide audience in the mathematical and engineering sciences.

Singular Integral Operators, Factorization and Applications

Albrecht Böttcher,Marinus A. Kaashoek,Amarino Brites Lebre,Antonio, F. dos Santos,Frank-Olme Speck
Singular Integral Operators Factorization and Applications Book PDF

Author : Albrecht Böttcher,Marinus A. Kaashoek,Amarino Brites Lebre,Antonio, F. dos Santos,Frank-Olme Speck
Publisher : Birkhäuser
Page : 393 pages
File Size : 40,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034880077

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Singular Integral Operators, Factorization and Applications by Albrecht Böttcher,Marinus A. Kaashoek,Amarino Brites Lebre,Antonio, F. dos Santos,Frank-Olme Speck Pdf

This volume contains the proceedings of the International Workshop on Operator Theory and Applications held at the University of Algarve in Faro, Portugal, September 12-15, in the year 2000. The main topics of the conference were !> Factorization Theory; !> Factorization and Integrable Systems; !> Operator Theoretical Methods in Diffraction Theory; !> Algebraic Techniques in Operator Theory; !> Applications to Mathematical Physics and Related Topics. A total of 94 colleagues from 21 countries participated in the conference. The major part of participants came from Portugal (32), Germany (17), Israel (6), Mexico (6), the Netherlands (5), USA (4) and Austria (4). The others were from Ukraine, Venezuela (3 each), Spain, Sweden (2 each), Algeria, Australia, Belorussia, France, Georgia, Italy, Japan, Kuwait, Russia and Turkey (one of each country). It was the 12th meeting in the framework of the IWOTA conferences which started in 1981 on an initiative of Professors 1. Gohberg (Tel Aviv) and J. W. Helton (San Diego). Up to now, it was the largest conference in the field of Operator Theory in Portugal.

Operator Algebras, Toeplitz Operators and Related Topics

Wolfram Bauer,Roland Duduchava,Sergei Grudsky,Marinus A. Kaashoek
Operator Algebras Toeplitz Operators and Related Topics Book PDF

Author : Wolfram Bauer,Roland Duduchava,Sergei Grudsky,Marinus A. Kaashoek
Publisher : Springer Nature
Page : 467 pages
File Size : 50,9 Mb
Release : 2020-09-01
Category : Mathematics
ISBN : 9783030446512

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Operator Algebras, Toeplitz Operators and Related Topics by Wolfram Bauer,Roland Duduchava,Sergei Grudsky,Marinus A. Kaashoek Pdf

This book features a collection of up-to-date research papers that study various aspects of general operator algebra theory and concrete classes of operators, including a range of applications. Most of the papers included were presented at the International Workshop on Operator Algebras, Toeplitz Operators, and Related Topics, in Boca del Rio, Veracruz, Mexico, in November 2018. The conference, which was attended by more than 30 leading experts in the field, was held in celebration of Nikolai Vasilevski’s 70th birthday, and the contributions are dedicated to him.

Recent Trends in Toeplitz and Pseudodifferential Operators

Roland V. Duduchava,Israel Gohberg,Sergei M. Grudsky,Vladimir Rabinovich
Recent Trends in Toeplitz and Pseudodifferential Operators Book PDF

Author : Roland V. Duduchava,Israel Gohberg,Sergei M. Grudsky,Vladimir Rabinovich
Publisher : Springer Science & Business Media
Page : 275 pages
File Size : 45,6 Mb
Release : 2011-02-04
Category : Mathematics
ISBN : 9783034605489

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Recent Trends in Toeplitz and Pseudodifferential Operators by Roland V. Duduchava,Israel Gohberg,Sergei M. Grudsky,Vladimir Rabinovich Pdf

The aim of the book is to present new results in operator theory and its applications. In particular, the book is devoted to operators with automorphic symbols, applications of the methods of modern operator theory and differential geometry to some problems of theory of elasticity, quantum mechanics, hyperbolic systems of partial differential equations with multiple characteristics, Laplace-Beltrami operators on manifolds with singular points. Moreover, the book comprises new results in the theory of Wiener-Hopf operators with oscillating symbols, large hermitian Toeplitz band matrices, commutative algebras of Toeplitz operators, and discusses a number of other topics.

The Extended Field of Operator Theory

Michael A. Dritschel
The Extended Field of Operator Theory Book PDF

Author : Michael A. Dritschel
Publisher : Springer Science & Business Media
Page : 405 pages
File Size : 45,8 Mb
Release : 2007-06-25
Category : Mathematics
ISBN : 9783764379803

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The Extended Field of Operator Theory by Michael A. Dritschel Pdf

This volume contains contributions originating from the International Workshop on Operator Theory and Its Applications (IWOTA) held in Newcastle upon Tyne in July 2004. The articles expertly cover a broad range of material at the cutting edge of functional analysis and its applications. The works are written by world authorities in their specialities.

Factorization of Matrix Functions and Singular Integral Operators

Prof. Kevin F. Clancey,Prof. Israel Gohberg
Factorization of Matrix Functions and Singular Integral Operators Book PDF

Author : Prof. Kevin F. Clancey,Prof. Israel Gohberg
Publisher : Birkhäuser
Page : 246 pages
File Size : 44,6 Mb
Release : 2013-11-21
Category : Science
ISBN : 9783034854924

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Factorization of Matrix Functions and Singular Integral Operators by Prof. Kevin F. Clancey,Prof. Israel Gohberg Pdf

A few years aga the authors started a project of a book on the theory of systems of one-dimensional singular integral equa tions which was planned as a continuation of the monograph by one of the authors and N. Ya. Krupnik ~~ concerning scalar equa tions. This set of notes was initiated as a chapter dealing with problems of factorization of matrix functions vis-a-vis appli cations to systems of singular integral equations. Working systematically onthischapter and adding along the way new points of view, new proofs and results, we finally saw that the material connected with factorizations is of independent interest and we decided to publish this chapter as aseparate volume. In fact, because of recent activity, the amount of material was quite large and we quickly learned that we cannot cover all of the results in complete detail. We have tried to include a represen tative variety of all kinds of methods, techniques,results and applications. Apart of the current work exposes results from the Russian literature which have never appeared in English translation. We have also decided to reflect some of the recent results which make interesting connections between factorization of matrix functions and systems theory. The field remains very active and many results and connec tions are still not weIl understood. These notes should be viewed as a stepping stone to further development. The authors hope that sometime they will return to complete their original plan.

Commutative Algebras of Toeplitz Operators on the Bergman Space

Nikolai Vasilevski
Commutative Algebras of Toeplitz Operators on the Bergman Space Book PDF

Author : Nikolai Vasilevski
Publisher : Springer Science & Business Media
Page : 436 pages
File Size : 55,8 Mb
Release : 2008-11-20
Category : Mathematics
ISBN : 9783764387266

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Commutative Algebras of Toeplitz Operators on the Bergman Space by Nikolai Vasilevski Pdf

This unique book is devoted to the detailed study of the recently discovered commutative C*-algebras of Toeplitz operators on the Bergman space over the unit disk. Surprisingly, the key point to understanding their structure and classifying them lies in the hyperbolic geometry of the unit disk. The book develops a number of important problems whose successful solution was made possible and is based on the specific features of the Toeplitz operators from these commutative algebras.

Function Spaces

Conference on Function Spaces
Function Spaces Book PDF

Author : Conference on Function Spaces
Publisher : American Mathematical Soc.
Page : 402 pages
File Size : 45,8 Mb
Release : 2007
Category : Function spaces
ISBN : 9780821840610

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Function Spaces by Conference on Function Spaces Pdf

This book consists of contributions by the participants of the Fifth Conference on Function Spaces, held at Southern Illinois University in May of 2006. The papers cover a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), $L{p $-spaces, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and other related subjects. The goal of the conference was to bring together mathematicians interested in various problems related to function spaces and to facilitate the exchange of ideas between people working on similar problems. Hence, the majority of papers in this book are accessible to non-experts. Some articles contain expositions of known results and discuss open problems, others contain new results.

Fractional Derivatives for Physicists and Engineers

Vladimir V. Uchaikin
Fractional Derivatives for Physicists and Engineers Book PDF

Author : Vladimir V. Uchaikin
Publisher : Springer Science & Business Media
Page : 400 pages
File Size : 50,8 Mb
Release : 2013-07-09
Category : Science
ISBN : 9783642339110

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Fractional Derivatives for Physicists and Engineers by Vladimir V. Uchaikin Pdf

The first derivative of a particle coordinate means its velocity, the second means its acceleration, but what does a fractional order derivative mean? Where does it come from, how does it work, where does it lead to? The two-volume book written on high didactic level answers these questions. Fractional Derivatives for Physicists and Engineers— The first volume contains a clear introduction into such a modern branch of analysis as the fractional calculus. The second develops a wide panorama of applications of the fractional calculus to various physical problems. This book recovers new perspectives in front of the reader dealing with turbulence and semiconductors, plasma and thermodynamics, mechanics and quantum optics, nanophysics and astrophysics. The book is addressed to students, engineers and physicists, specialists in theory of probability and statistics, in mathematical modeling and numerical simulations, to everybody who doesn't wish to stay apart from the new mathematical methods becoming more and more popular. Prof. Vladimir V. UCHAIKIN is a known Russian scientist and pedagogue, a Honored Worker of Russian High School, a member of the Russian Academy of Natural Sciences. He is the author of about three hundreds articles and more than a dozen books (mostly in Russian) in Cosmic ray physics, Mathematical physics, Levy stable statistics, Monte Carlo methods with applications to anomalous processes in complex systems of various levels: from quantum dots to the Milky Way galaxy.

Singular Integral Operators, Factorization, and Applications

Albrecht Böttcher
Singular Integral Operators Factorization and Applications Book PDF

Author : Albrecht Böttcher
Publisher : Birkhauser
Page : 381 pages
File Size : 49,7 Mb
Release : 2003-01-01
Category : Mathematics
ISBN : 0817669477

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Singular Integral Operators, Factorization, and Applications by Albrecht Böttcher Pdf

This book contains the proceedings of the International Workshop on Operator Theory and Applications held in Faro, Portugal, September 12 to 15, 2000. It includes 20 selected articles centered on the analysis of various classes of singular operators, the factorization of operator and matrix functions, algebraic methods in approximation theory, and applications in diffraction theory. Some papers are related to topics from fractional calculus, complex analysis, operator algebras, and partial differential equations.

Commutation Properties of Hilbert Space Operators and Related Topics

Calvin R. Putnam
Commutation Properties of Hilbert Space Operators and Related Topics Book PDF

Author : Calvin R. Putnam
Publisher : Springer Science & Business Media
Page : 177 pages
File Size : 51,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642859380

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Commutation Properties of Hilbert Space Operators and Related Topics by Calvin R. Putnam Pdf

What could be regarded as the beginning of a theory of commutators AB - BA of operators A and B on a Hilbert space, considered as a dis cipline in itself, goes back at least to the two papers of Weyl [3] {1928} and von Neumann [2] {1931} on quantum mechanics and the commuta tion relations occurring there. Here A and B were unbounded self-adjoint operators satisfying the relation AB - BA = iI, in some appropriate sense, and the problem was that of establishing the essential uniqueness of the pair A and B. The study of commutators of bounded operators on a Hilbert space has a more recent origin, which can probably be pinpointed as the paper of Wintner [6] {1947}. An investigation of a few related topics in the subject is the main concern of this brief monograph. The ensuing work considers commuting or "almost" commuting quantities A and B, usually bounded or unbounded operators on a Hilbert space, but occasionally regarded as elements of some normed space. An attempt is made to stress the role of the commutator AB - BA, and to investigate its properties, as well as those of its components A and B when the latter are subject to various restrictions. Some applica tions of the results obtained are made to quantum mechanics, perturba tion theory, Laurent and Toeplitz operators, singular integral trans formations, and Jacobi matrices.