Hankel Operators And Their Applications

Download Hankel Operators And Their Applications full books in PDF, epub, and Kindle. Read online Hankel Operators And Their Applications ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Hankel Operators and Their Applications

Author : Vladimir Peller
Publisher : Springer Science & Business Media
ISBN 13 : 0387216812
Total Pages : 789 pages
Book Rating : 4.3/5 (872 download)

DOWNLOAD NOW!

Book Synopsis Hankel Operators and Their Applications by : Vladimir Peller

Download or read book Hankel Operators and Their Applications written by Vladimir Peller and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 789 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to describe the theory of Hankel operators, one of the most important classes of operators on spaces of analytic func tions. Hankel operators can be defined as operators having infinite Hankel matrices (i. e. , matrices with entries depending only on the sum of the co ordinates) with respect to some orthonormal basis. Finite matrices with this property were introduced by Hankel, who found interesting algebraic properties of their determinants. One of the first results on infinite Han kel matrices was obtained by Kronecker, who characterized Hankel matri ces of finite rank as those whose entries are Taylor coefficients of rational functions. Since then Hankel operators (or matrices) have found numerous applications in classical problems of analysis, such as moment problems, orthogonal polynomials, etc. Hankel operators admit various useful realizations, such as operators on spaces of analytic functions, integral operators on function spaces on (0,00), operators on sequence spaces. In 1957 Nehari described the bounded Hankel operators on the sequence space £2. This description turned out to be very important and started the contemporary period of the study of Hankel operators. We begin the book with introductory Chapter 1, which defines Hankel operators and presents their basic properties. We consider different realiza tions of Hankel operators and important connections of Hankel operators with the spaces BMa and V MO, Sz. -Nagy-Foais functional model, re producing kernels of the Hardy class H2, moment problems, and Carleson imbedding operators.

Hankel Operators and Their Applications

Author :
Publisher :
ISBN 13 :
Total Pages : 784 pages
Book Rating : 4.:/5 (767 download)

DOWNLOAD NOW!

Book Synopsis Hankel Operators and Their Applications by :

Download or read book Hankel Operators and Their Applications written by and published by . This book was released on 2011 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Hankel Operators

Author : Jonathan R. Partington
Publisher : Cambridge University Press
ISBN 13 : 0521366119
Total Pages : 113 pages
Book Rating : 4.5/5 (213 download)

DOWNLOAD NOW!

Book Synopsis An Introduction to Hankel Operators by : Jonathan R. Partington

Download or read book An Introduction to Hankel Operators written by Jonathan R. Partington and published by Cambridge University Press. This book was released on 1988 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hankel operators are of wide application in mathematics and engineering and this account of them is both elementary and rigorous.

An Introduction to Hankel Operators

Author : Jonathan R. Partington
Publisher : Cambridge University Press
ISBN 13 : 9780521367912
Total Pages : 116 pages
Book Rating : 4.3/5 (679 download)

DOWNLOAD NOW!

Book Synopsis An Introduction to Hankel Operators by : Jonathan R. Partington

Download or read book An Introduction to Hankel Operators written by Jonathan R. Partington and published by Cambridge University Press. This book was released on 1988 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hankel operators are of wide application in mathematics and engineering and this account of them is both elementary and rigorous.

Operator Theory, Functional Analysis and Applications

Author : M. Amélia Bastos
Publisher : Springer Nature
ISBN 13 : 3030519457
Total Pages : 654 pages
Book Rating : 4.0/5 (35 download)

DOWNLOAD NOW!

Book Synopsis Operator Theory, Functional Analysis and Applications by : M. Amélia Bastos

Download or read book Operator Theory, Functional Analysis and Applications written by M. Amélia Bastos and published by Springer Nature. This book was released on 2021-03-31 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems

Author : Hermann Schulz-Baldes
Publisher : Springer Nature
ISBN 13 : 3031122011
Total Pages : 225 pages
Book Rating : 4.0/5 (311 download)

DOWNLOAD NOW!

Book Synopsis Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems by : Hermann Schulz-Baldes

Download or read book Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems written by Hermann Schulz-Baldes and published by Springer Nature. This book was released on 2022-12-31 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a self-consistent treatment of Besov spaces for W*-dynamical systems, based on the Arveson spectrum and Fourier multipliers. Generalizing classical results by Peller, spaces of Besov operators are then characterized by trace class properties of the associated Hankel operators lying in the W*-crossed product algebra. These criteria allow to extend index theorems to such operator classes. This in turn is of great relevance for applications in solid-state physics, in particular, Anderson localized topological insulators as well as topological semimetals. The book also contains a self-contained chapter on duality theory for R-actions. It allows to prove a bulk-boundary correspondence for boundaries with irrational angles which implies the existence of flat bands of edge states in graphene-like systems. This book is intended for advanced students in mathematical physics and researchers alike.

Operator Theory, Operator Algebras, and Applications

Author : Deguang Han
Publisher : American Mathematical Soc.
ISBN 13 : 0821839233
Total Pages : 440 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis Operator Theory, Operator Algebras, and Applications by : Deguang Han

Download or read book Operator Theory, Operator Algebras, and Applications written by Deguang Han and published by American Mathematical Soc.. This book was released on 2006 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a presentation of some new trends in operator theory and operator algebras, with a view to their applications. It consists of separate papers written by some of the leading practitioners in the field. The content is put together by the three editors in a way that should help students and working mathematicians in other parts of the mathematical sciences gain insight into an important part of modern mathematics and its applications. While different specialist authors are outlining new results in this book, the presentations have been made user friendly with the aid of tutorial material. In fact, each paper contains three things: a friendly introduction with motivation, tutorial material, and new research. The authors have strived to make their results relevant to the rest of mathematics. A list of topics discussed in the book includes wavelets, frames and their applications, quantum dynamics, multivariable operator theory, $C*$-algebras, and von Neumann algebras. Some longer papers present recent advances on particular, long-standing problems such as extensions and dilations, the Kadison-Singer conjecture, and diagonals of self-adjoint operators.

Analysis of Toeplitz Operators

Author : Albrecht Böttcher
Publisher : Springer Science & Business Media
ISBN 13 : 366202652X
Total Pages : 511 pages
Book Rating : 4.6/5 (62 download)

DOWNLOAD NOW!

Book Synopsis Analysis of Toeplitz Operators by : Albrecht Böttcher

Download or read book Analysis of Toeplitz Operators written by Albrecht Böttcher and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revised introduction to the advanced analysis of block Toeplitz operators including recent research. This book builds on the success of the first edition which has been used as a standard reference for fifteen years. Topics range from the analysis of locally sectorial matrix functions to Toeplitz and Wiener-Hopf determinants. This will appeal to both graduate students and specialists in the theory of Toeplitz operators.

Holomorphic Spaces

Author : Sheldon Jay Axler
Publisher : Cambridge University Press
ISBN 13 : 9780521631938
Total Pages : 490 pages
Book Rating : 4.6/5 (319 download)

DOWNLOAD NOW!

Book Synopsis Holomorphic Spaces by : Sheldon Jay Axler

Download or read book Holomorphic Spaces written by Sheldon Jay Axler and published by Cambridge University Press. This book was released on 1998-05-28 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: Expository articles describing the role Hardy spaces, Bergman spaces, Dirichlet spaces, and Hankel and Toeplitz operators play in modern analysis.

Operator Theory in Function Spaces

Author : Kehe Zhu
Publisher : American Mathematical Soc.
ISBN 13 : 0821839659
Total Pages : 368 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis Operator Theory in Function Spaces by : Kehe Zhu

Download or read book Operator Theory in Function Spaces written by Kehe Zhu and published by American Mathematical Soc.. This book was released on 2007 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers Toeplitz operators, Hankel operators, and composition operators on both the Bergman space and the Hardy space. The setting is the unit disk and the main emphasis is on size estimates of these operators: boundedness, compactness, and membership in the Schatten classes. Most results concern the relationship between operator-theoretic properties of these operators and function-theoretic properties of the inducing symbols. Thus a good portion of the book is devoted to the study of analytic function spaces such as the Bloch space, Besov spaces, and BMOA, whose elements are to be used as symbols to induce the operators we study. The book is intended for both research mathematicians and graduate students in complex analysis and operator theory. The prerequisites are minimal; a graduate course in each of real analysis, complex analysis, and functional analysis should sufficiently prepare the reader for the book. Exercises and bibliographical notes are provided at the end of each chapter. These notes will point the reader to additional results and problems. Kehe Zhu is a professor of mathematics at the State University of New York at Albany. His previous books include Theory of Bergman Spaces (Springer, 2000, with H. Hedenmalm and B. Korenblum) and Spaces of Holomorphic Functions in the Unit Ball (Springer, 2005). His current research interests are holomorphic function spaces and operators acting on them.

An Introduction to Operators on the Hardy-Hilbert Space

Author : Ruben A. Martinez-Avendano
Publisher : Springer Science & Business Media
ISBN 13 : 0387485783
Total Pages : 230 pages
Book Rating : 4.3/5 (874 download)

DOWNLOAD NOW!

Book Synopsis An Introduction to Operators on the Hardy-Hilbert Space by : Ruben A. Martinez-Avendano

Download or read book An Introduction to Operators on the Hardy-Hilbert Space written by Ruben A. Martinez-Avendano and published by Springer Science & Business Media. This book was released on 2007-03-12 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an elementary and engaging introduction to operator theory on the Hardy-Hilbert space. It provides a firm foundation for the study of all spaces of analytic functions and of the operators on them. Blending techniques from "soft" and "hard" analysis, the book contains clear and beautiful proofs. There are numerous exercises at the end of each chapter, along with a brief guide for further study which includes references to applications to topics in engineering.

Control and Dynamic Systems V56: Digital and Numeric Techniques and Their Application in Control Systems

Author : C.T. Leonides
Publisher : Academic Press
ISBN 13 : 0323163270
Total Pages : 593 pages
Book Rating : 4.3/5 (231 download)

DOWNLOAD NOW!

Book Synopsis Control and Dynamic Systems V56: Digital and Numeric Techniques and Their Application in Control Systems by : C.T. Leonides

Download or read book Control and Dynamic Systems V56: Digital and Numeric Techniques and Their Application in Control Systems written by C.T. Leonides and published by Academic Press. This book was released on 2012-12-02 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control and Dynamic Systems: Advances in Theory and Applications, Volume 56: Digital and Numeric Techniques and their Applications in Control Systems, Part 2 of 2 covers the significant developments in digital and numerical techniques for the analysis and design of modern complex control systems. This volume is composed of 12 chapters and starts with a description of the design techniques of linear constrained discrete-time control systems. The subsequent chapters describe the techniques dealing with robust real-time system identification, the adaptive control algorithms, and the utilization of methods from generalized interpolation and operator theory to deal with a wide range of problems in robust control. These topics are followed by reviews f the decentralized control design for interconnected uncertain systems; the computation of frequency response of descriptor systems by rational interpolation; the techniques for the synthesis of multivariable feedback control laws; and the effect of the initial condition in state estimation for discrete-time linear systems. Other chapters illustrate practical, efficient, and reliable numerical algorithms for robust multivariable control design of linear time-invariant systems, as well as a complete analysis of closed-loop transfer recovery in discrete-time systems using observer-based controllers. The last chapters provide the techniques in robust policy-making in the global economic environment and the implications of robust control techniques for continuous-time systems. This book will prove useful to process, control, systems, and design engineers.

Hankel Operators on Hilbert Space

Author : S. C. Power
Publisher : Pitman Publishing
ISBN 13 :
Total Pages : 112 pages
Book Rating : 4.:/5 (44 download)

DOWNLOAD NOW!

Book Synopsis Hankel Operators on Hilbert Space by : S. C. Power

Download or read book Hankel Operators on Hilbert Space written by S. C. Power and published by Pitman Publishing. This book was released on 1982 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Hankel Operators

Author : Reader in Functional Analysis and Systems Theory School of Mathematics Jonathan R Partington
Publisher :
ISBN 13 : 9781107361515
Total Pages : 112 pages
Book Rating : 4.3/5 (615 download)

DOWNLOAD NOW!

Book Synopsis An Introduction to Hankel Operators by : Reader in Functional Analysis and Systems Theory School of Mathematics Jonathan R Partington

Download or read book An Introduction to Hankel Operators written by Reader in Functional Analysis and Systems Theory School of Mathematics Jonathan R Partington and published by . This book was released on 2014-05-14 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hankel operators are of wide application in mathematics and engineering and this account of them is both elementary and rigorous.

Lectures on Analytic Function Spaces and their Applications

Author : Javad Mashreghi
Publisher : Springer Nature
ISBN 13 : 3031335724
Total Pages : 426 pages
Book Rating : 4.0/5 (313 download)

DOWNLOAD NOW!

Book Synopsis Lectures on Analytic Function Spaces and their Applications by : Javad Mashreghi

Download or read book Lectures on Analytic Function Spaces and their Applications written by Javad Mashreghi and published by Springer Nature. This book was released on 2023-11-14 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert spaces of analytic functions form one of the pillars of complex analysis. These spaces have a rich structure and for more than a century have been studied by many prominent mathematicians. They have essential applications in other fields of mathematics and engineering. The most important Hilbert space of analytic functions is the Hardy class H2. However, its close cousins—the Bergman space A2, the Dirichlet space D, the model subspaces Kt, and the de Branges-Rovnyak spaces H(b)—have also garnered attention in recent decades. Leading experts on function spaces gathered and discussed new achievements and future venues of research on analytic function spaces, their operators, and their applications in other domains. With over 250 hours of lectures by prominent mathematicians, the program spanned a wide variety of topics. More explicitly, there were courses and workshops on Interpolation and Sampling, Riesz Bases, Frames and Signal Processing, Bounded Mean Oscillation, de Branges-Rovnyak Spaces, Blaschke Products and Inner Functions, and Convergence of Scattering Data and Non-linear Fourier Transform, among others. At the end of each week, there was a high-profile colloquium talk on the current topic. The program also contained two advanced courses on Schramm Loewner Evolution and Lattice Models and Reproducing Kernel Hilbert Space of Analytic Functions. This volume features the courses given on Hardy Spaces, Dirichlet Spaces, Bergman Spaces, Model Spaces, Operators on Function Spaces, Truncated Toeplitz Operators, Semigroups of weighted composition operators on spaces of holomorphic functions, the Corona Problem, Non-commutative Function Theory, and Drury-Arveson Space. This volume is a valuable resource for researchers interested in analytic function spaces.

Treatise on the Shift Operator

Author : N.K. Nikol'skii
Publisher : Springer Science & Business Media
ISBN 13 : 3642701515
Total Pages : 496 pages
Book Rating : 4.6/5 (427 download)

DOWNLOAD NOW!

Book Synopsis Treatise on the Shift Operator by : N.K. Nikol'skii

Download or read book Treatise on the Shift Operator written by N.K. Nikol'skii and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an elementary introduction to non-classical spectral theory. Mter the basic definitions and a reduction to the study of the functional model the discussion will be centered around the simplest variant of such a model which, formally speaking, comprises only the class of contraction operators with a one dimensional rank of non-unitarity (rank(I - T*T) = rank(I - TT*) = 1). The main emphasis is on the technical side of the subject, the book being mostly devoted to a development of the analytical machinery of spectral theory rather than to this discipline itself. The functional model of Sz. -Nagy and Foia§ re duces the study of general operators to an investigation of the . compression T=PSIK of the shift operator S, Sf = zf, onto coinvariant subspaces (i. e. subspaces in variant with respect to the adjoint shift S*). In the main body of the book (the "Lectures" in the proper meaning of the word) this operator acts on the Hardy space H2 and is itself a part of the operator of multiplication by the independent variable in the space L2 (in the case at hand L2 means L2(lf), If being the unit circle), this operator again being fundamental for classical spectral theory.

The d-bar Neumann Problem and Schrödinger Operators

Author : Friedrich Haslinger
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110377837
Total Pages : 298 pages
Book Rating : 4.1/5 (13 download)

DOWNLOAD NOW!

Book Synopsis The d-bar Neumann Problem and Schrödinger Operators by : Friedrich Haslinger

Download or read book The d-bar Neumann Problem and Schrödinger Operators written by Friedrich Haslinger and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-08-20 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topic of this book is located at the intersection of complex analysis, operator theory and partial differential equations. It begins with results on the canonical solution operator to restricted to Bergman spaces of holomorphic d-bar functions in one and several complex variables.These operators are Hankel operators of special type. In the following the general complex is investigated on d-bar spaces over bounded pseudoconvex domains and on weighted d-bar spaces. The main part is devoted to the spectral analysis of the complex Laplacian and to compactness of the Neumann operator. The last part contains a detailed account of the application of the methods to Schrödinger operators, Pauli and Dirac operators and to Witten-Laplacians. It is assumed that the reader has a basic knowledge of complex analysis, functional analysis and topology. With minimal prerequisites required, this book provides a systematic introduction to an active area of research for both students at a bachelor level and mathematicians.