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Author : V. B. Dybin
Publisher : Birkhauser
ISBN 13 : 9780817667283
Total Pages : 299 pages
Book Rating : 4.6/5 (672 download)
Download or read book Introduction to the Theory of Toeplitz Operators with Infinite Index written by V. B. Dybin and published by Birkhauser. This book was released on 2002-01-01 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir Dybin
Publisher : Birkhäuser
ISBN 13 : 3034882130
Total Pages : 306 pages
Book Rating : 4.0/5 (348 download)
Download or read book Introduction to the Theory of Toeplitz Operators with Infinite Index written by Vladimir Dybin and published by Birkhäuser. This book was released on 2012-12-06 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to Toeplitz and singular integral operators with symbols that have discontinuities of the oscillating type. Criteria for the normal solvability of such operators are established and several methods for describing the kernel and image spaces of the operators are presented. The approach is based on the idea of modelling discontinuities with an "infinite index" by appropriate inner functions, especially by infinite Blaschke products. The corresponding techniques have been elaborated by the authors during the last two decades, and they are applicable to both symbols with slowly and rapidly increasing arguments. Moreover, the book reveals exciting connections between invariant subspaces of the shift operator, bases in Banach spaces, and various classes of entire and meromorphic functions. The book aims at making advanced topics accessible to a broad readership. It is addressed to graduate and postgraduate students and to mathematicians interested in functional analysis, the theory of functions of a complex variable, or mathematical physics.
Author : Harald Upmeier
Publisher : Birkhäuser
ISBN 13 : 3034892462
Total Pages : 495 pages
Book Rating : 4.0/5 (348 download)
Download or read book Toeplitz Operators and Index Theory in Several Complex Variables written by Harald Upmeier and published by Birkhäuser. This book was released on 2012-12-06 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: 4. 1 Bergman-Toeplitz Operators Over Bounded Domains 242 4. 2 Hardy-Toeplitz Operators Over Strictly Domains Pseudoconvex 250 Groupoid C* -Algebras 4. 3 256 4. 4 Hardy-Toeplitz Operators Over Tubular Domains 267 4. 5 Bergman-Toeplitz Operators Over Tubular Domains 278 4. 6 Hardy-Toeplitz Operators Over Polycircular Domains 284 4. 7 Bergman-Toeplitz Operators Over Polycircular Domains 290 4. 8 Hopf C* -Algebras 299 4. 9 Actions and Coactions on C* -Algebras 310 4. 10 Hardy-Toeplitz Operators Over K-circular Domains 316 4. 11 Hardy-Toeplitz Operators Over Symmetric Domains 325 4. 12 Bergman-Toeplitz Operators Over Symmetric Domains 361 5. Index Theory for Multivariable Toeplitz Operators 5. 0 Introduction 371 5. 1 K-Theory for Topological Spaces 372 5. 2 Index Theory for Strictly Pseudoconvex Domains 384 5. 3 C*-Algebras K-Theory for 394 5. 4 Index Theory for Symmetric Domains 400 5. 5 Index Theory for Tubular Domains 432 5. 6 Index Theory for Polycircular Domains 455 References 462 Index of Symbols and Notations 471 In trod uction Toeplitz operators on the classical Hardy space (on the I-torus) and the closely related Wiener-Hopf operators (on the half-line) form a central part of operator theory, with many applications e. g. , to function theory on the unit disk and to the theory of integral equations.
Author : Javad Mashreghi
Publisher : Springer Science & Business Media
ISBN 13 : 1461453402
Total Pages : 324 pages
Book Rating : 4.4/5 (614 download)
Download or read book Blaschke Products and Their Applications written by Javad Mashreghi and published by Springer Science & Business Media. This book was released on 2012-10-05 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Blaschke Products and Their Applications presents a collection of survey articles that examine Blaschke products and several of its applications to fields such as approximation theory, differential equations, dynamical systems, harmonic analysis, to name a few. Additionally, this volume illustrates the historical roots of Blaschke products and highlights key research on this topic. For nearly a century, Blaschke products have been researched. Their boundary behaviour, the asymptomatic growth of various integral means and their derivatives, their applications within several branches of mathematics, and their membership in different function spaces and their dynamics, are a few examples of where Blaschke products have shown to be important. The contributions written by experts from various fields of mathematical research will engage graduate students and researches alike, bringing the reader to the forefront of research in the topic. The readers will also discover the various open problems, enabling them to better pursue their own research.
Author : Harm Bart
Publisher : Springer
ISBN 13 : 3030042693
Total Pages : 464 pages
Book Rating : 4.0/5 (3 download)
Download or read book Operator Theory, Analysis and the State Space Approach written by Harm Bart and published by Springer. This book was released on 2018-12-30 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to Rien Kaashoek on the occasion of his 80th birthday and celebrates his many contributions to the field of operator theory during more than fifty years. In the first part of the volume, biographical information and personal accounts on the life of Rien Kaashoek are presented. Eighteen research papers by friends and colleagues of Rien Kaashoek are included in the second part. Contributions by J. Agler, Z.A. Lykova, N.J. Young, J.A. Ball, G.J. Groenewald, S. ter Horst, H. Bart, T. Ehrhardt, B. Silbermann, J.M. Bogoya, S.M. Grudsky, I.S. Malysheva, A. Böttcher, E. Wegert, Z. Zhou, Y. Eidelman, I. Haimovici, A.E. Frazho, A.C.M. Ran, B. Fritzsche, B. Kirstein, C.Madler, J. J. Jaftha, D.B. Janse van Rensburg, P. Junghanns, R. Kaiser, J. Nemcova, M. Petreczky, J.H. van Schuppen, L. Plevnik, P. Semrl, A. Sakhnovich, F.-O. Speck, S. Sremac, H.J. Woerdeman, H. Wolkowicz and N. Vasilevski.
Author : Daniel Alpay
Publisher : Springer Science & Business Media
ISBN 13 : 9783764372125
Total Pages : 332 pages
Book Rating : 4.3/5 (721 download)
Download or read book Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations written by Daniel Alpay and published by Springer Science & Business Media. This book was released on 2005-03-22 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Israel Gohberg
Publisher : Springer Science & Business Media
ISBN 13 : 9783764372903
Total Pages : 496 pages
Book Rating : 4.3/5 (729 download)
Download or read book Recent Advances in Operator Theory and Its Applications written by Israel Gohberg and published by Springer Science & Business Media. This book was released on 2005-09-16 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Yuri I. Karlovich
Publisher : Springer Science & Business Media
ISBN 13 : 3034805373
Total Pages : 410 pages
Book Rating : 4.0/5 (348 download)
Download or read book Operator Theory, Pseudo-Differential Equations, and Mathematical Physics written by Yuri I. Karlovich and published by Springer Science & Business Media. This book was released on 2012-10-30 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of papers devoted to the 70th birthday of Professor Vladimir Rabinovich. The opening article (by Stefan Samko) includes a short biography of Vladimir Rabinovich, along with some personal recollections and bibliography of his work. It is followed by twenty research and survey papers in various branches of analysis (pseudodifferential operators and partial differential equations, Toeplitz, Hankel, and convolution type operators, variable Lebesgue spaces, etc.) close to Professor Rabinovich's research interests. Many of them are written by participants of the International workshop “Analysis, Operator Theory, and Mathematical Physics” (Ixtapa, Mexico, January 23–27, 2012) having a long history of scientific collaboration with Vladimir Rabinovich, and are partially based on the talks presented there.The volume will be of great interest to researchers and graduate students in differential equations, operator theory, functional and harmonic analysis, and mathematical physics.
Author : Samuil D. Eidelman
Publisher : Birkhäuser
ISBN 13 : 3034878443
Total Pages : 390 pages
Book Rating : 4.0/5 (348 download)
Download or read book Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type written by Samuil D. Eidelman and published by Birkhäuser. This book was released on 2012-12-06 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to new classes of parabolic differential and pseudo-differential equations extensively studied in the last decades, such as parabolic systems of a quasi-homogeneous structure, degenerate equations of the Kolmogorov type, pseudo-differential parabolic equations, and fractional diffusion equations. It will appeal to mathematicians interested in new classes of partial differential equations, and physicists specializing in diffusion processes.
Author : Ryuichi Ashino
Publisher : Springer Science & Business Media
ISBN 13 : 9783764371401
Total Pages : 252 pages
Book Rating : 4.3/5 (714 download)
Download or read book Advances in Pseudo-Differential Operators written by Ryuichi Ashino and published by Springer Science & Business Media. This book was released on 2004-08-20 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of the plenary lectures and invited talks in the special session on pseudo-differential operators given at the Fourth Congress of the International Society for Analysis, Applications and Computation (ISAAC) held at York University in Toronto, August 11-16, 2003. The theme is to look at pseudo-differential operators in a very general sense and to report recent advances in a broad spectrum of topics, such as pde, quantization, filters and localization operators, modulation spaces, and numerical experiments in wavelet transforms and orthonormal wavelet bases.
Author : Jan Janas
Publisher : Birkhäuser
ISBN 13 : 3034879474
Total Pages : 247 pages
Book Rating : 4.0/5 (348 download)
Download or read book Spectral Methods for Operators of Mathematical Physics written by Jan Janas and published by Birkhäuser. This book was released on 2012-12-06 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent results in the following areas: spectral analysis of one-dimensional Schrödinger and Jacobi operators, discrete WKB analysis of solutions of second order difference equations, and applications of functional models of non-selfadjoint operators. Several developments treated appear for the first time in a book. It is addressed to a wide group of specialists working in operator theory or mathematical physics.
Author : Robert Ellis
Publisher : Springer Science & Business Media
ISBN 13 : 9783764369293
Total Pages : 264 pages
Book Rating : 4.3/5 (692 download)
Download or read book Orthogonal Systems and Convolution Operators written by Robert Ellis and published by Springer Science & Business Media. This book was released on 2003 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main concern of this book is the distribution of zeros of polynomials that are orthogonal on the unit circle with respect to an indefinite weighted scalar or inner product. The first theorem of this type, proved by M. G. Krein, was a far-reaching generalization of G. Szegö's result for the positive definite case. A continuous analogue of that theorem was proved by Krein and H. Langer. These results, as well as many generalizations and extensions, are thoroughly treated in this book. A unifying theme is the general problem of orthogonalization with invertible squares in modules over C*-algebras. Particular modules that are considered in detail include modules of matrices, matrix polynomials, matrix-valued functions, linear operators, and others. One of the central features of this book is the interplay between orthogonal polynomials and their generalizations on the one hand, and operator theory, especially the theory of Toeplitz marices and operators, and Fredholm and Wiener-Hopf operators, on the other hand. The book is of interest to both engineers and specialists in analysis.
Author : Albrecht Böttcher
Publisher : Springer Science & Business Media
ISBN 13 : 9783764369477
Total Pages : 412 pages
Book Rating : 4.3/5 (694 download)
Download or read book Singular Integral Operators, Factorization and Applications written by Albrecht Böttcher and published by Springer Science & Business Media. This book was released on 2003-04-24 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Vladimir Ya. Eiderman
Publisher : Springer Science & Business Media
ISBN 13 : 9783764372514
Total Pages : 240 pages
Book Rating : 4.3/5 (725 download)
Download or read book Selected Topics in Complex Analysis written by Vladimir Ya. Eiderman and published by Springer Science & Business Media. This book was released on 2005-04-20 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume opens with a paper by V.P. Havin that presents a comprehensive survey of the work of mathematician S.Ya. Khavinson. It includes a complete bibliography, previously unpublished, of 163 items, and twelve peer-reviewed research and expository papers by leading mathematicians, including the joint paper by Khavinson and T.S. Kuzina. The emphasis is on the usage of tools from functional analysis, potential theory, algebra, and topology.
Author : Daniel Alpay
Publisher : Springer Science & Business Media
ISBN 13 : 9783764373702
Total Pages : 292 pages
Book Rating : 4.3/5 (737 download)
Download or read book The State Space Method written by Daniel Alpay and published by Springer Science & Business Media. This book was released on 2006 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : L. Boutet de Monvel
Publisher : Princeton University Press
ISBN 13 : 9780691082790
Total Pages : 172 pages
Book Rating : 4.0/5 (827 download)
Download or read book The Spectral Theory of Toeplitz Operators written by L. Boutet de Monvel and published by Princeton University Press. This book was released on 1981-08-21 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of Toeplitz operators has come to resemble more and more in recent years the classical theory of pseudodifferential operators. For instance, Toeplitz operators possess a symbolic calculus analogous to the usual symbolic calculus, and by symbolic means one can construct parametrices for Toeplitz operators and create new Toeplitz operators out of old ones by functional operations. If P is a self-adjoint pseudodifferential operator on a compact manifold with an elliptic symbol that is of order greater than zero, then it has a discrete spectrum. Also, it is well known that the asymptotic behavior of its eigenvalues is closely related to the behavior of the bicharacteristic flow generated by its symbol. It is natural to ask if similar results are true for Toeplitz operators. In the course of answering this question, the authors explore in depth the analogies between Toeplitz operators and pseudodifferential operators and show that both can be viewed as the "quantized" objects associated with functions on compact contact manifolds.
Author :
Publisher :
ISBN 13 :
Total Pages : 370 pages
Book Rating : 4.:/5 (8 download)
Download or read book Memoirs of the Scientific Sections of the Academy of the Socialist Republic of Romania written by and published by . This book was released on 2003 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:
