Interpolation Theory, Systems Theory and Related Topics

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Publisher : Birkhäuser
ISBN 13 : 3034882157
Total Pages : 420 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Interpolation Theory, Systems Theory and Related Topics by : Daniel Alpay

Download or read book Interpolation Theory, Systems Theory and Related Topics written by Daniel Alpay and published by Birkhäuser. This book was released on 2012-12-06 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to Harry Dym, a leading expert in operator theory, on the occasion of his sixtieth birthday. The book opens with an autobiographical sketch, a list of publications and a personal account of I. Gohberg on his collaboration with Harry Dym. The mathematical papers cover Krein space operator theory, Schur analysis and interpolation, several complex variables and Riemann surfaces, matrix theory, system theory, and differential equations and mathematical physics. The book is of interest to a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists.

Operator Theory, System Theory and Related Topics

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Publisher : Birkhäuser
ISBN 13 : 3034882475
Total Pages : 568 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Operator Theory, System Theory and Related Topics by : Daniel Alpay

Download or read book Operator Theory, System Theory and Related Topics written by Daniel Alpay and published by Birkhäuser. This book was released on 2012-12-06 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the refereed proceedings of the Conference in Operator The ory in Honour of Moshe Livsic 80th Birthday, held June 29 to July 4, 1997, at the Ben-Gurion University of the Negev (Beer-Sheva, Israel) and at the Weizmann In stitute of Science (Rehovot, Israel). The volume contains papers in operator theory and its applications (understood in a very wide sense), many of them reflecting, 1 directly or indirectly, a profound impact of the work of Moshe Livsic. Moshe (Mikhail Samuilovich) Livsic was born on July 4, 1917, in the small town of Pokotilova near Uman, in the province of Kiev in the Ukraine; his family moved to Odessa when he was four years old. In 1933 he enrolled in the Department of Physics and Mathematics at the Odessa State University, where he became a student of M. G. Krein and an active participant in Krein's seminar - one of the centres where the ideas and methods of functional analysis and operator theory were being developed. Besides M. G. Krein, M. S. Livsic was strongly influenced B. Va. Levin, an outstanding specialist in the theory of analytic functions. A by deep understanding of operator theory as well as function theory and a penetrating search of connections between the two, were to become one of the landmarks of M. S. Livsic's work. M. S. Livsic defended his Ph. D.

Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations

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Publisher : Springer Science & Business Media
ISBN 13 : 3764373032
Total Pages : 323 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations by : Daniel Alpay

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 2006-03-30 with total page 323 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.

Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory

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Publisher : Springer Nature
ISBN 13 : 3030448193
Total Pages : 578 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory by : Daniel Alpay

Download or read book Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory written by Daniel Alpay and published by Springer Nature. This book was released on 2020-09-19 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to Victor Emmanuilovich Katsnelson on the occasion of his 75th birthday and celebrates his broad mathematical interests and contributions.Victor Emmanuilovich’s mathematical career has been based mainly at the Kharkov University and the Weizmann Institute. However, it also included a one-year guest professorship at Leipzig University in 1991, which led to him establishing close research contacts with the Schur analysis group in Leipzig, a collaboration that still continues today. Reflecting these three periods in Victor Emmanuilovich's career, present and former colleagues have contributed to this book with research inspired by him and presentations on their joint work. Contributions include papers in function theory (Favorov-Golinskii, Friedland-Goldman-Yomdin, Kheifets-Yuditskii) , Schur analysis, moment problems and related topics (Boiko-Dubovoy, Dyukarev, Fritzsche-Kirstein-Mädler), extension of linear operators and linear relations (Dijksma-Langer, Hassi-de Snoo, Hassi -Wietsma) and non-commutative analysis (Ball-Bolotnikov, Cho-Jorgensen).

Selected Topics in Complex Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764372514
Total Pages : 240 pages
Book Rating : 4.3/5 (725 download)

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Book Synopsis Selected Topics in Complex Analysis by : Vladimir Ya. Eiderman

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.

Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type

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Publisher : Birkhäuser
ISBN 13 : 3034878443
Total Pages : 395 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type by : Samuil D. Eidelman

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 395 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.

Recent Advances in Operator Theory and Its Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764372903
Total Pages : 496 pages
Book Rating : 4.3/5 (729 download)

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Book Synopsis Recent Advances in Operator Theory and Its Applications by : Israel Gohberg

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.

Reproducing Kernel Spaces and Applications

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Publisher : Birkhäuser
ISBN 13 : 3034880774
Total Pages : 355 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Reproducing Kernel Spaces and Applications by : Daniel Alpay

Download or read book Reproducing Kernel Spaces and Applications written by Daniel Alpay and published by Birkhäuser. This book was released on 2012-12-06 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notions of positive functions and of reproducing kernel Hilbert spaces play an important role in various fields of mathematics, such as stochastic processes, linear systems theory, operator theory, and the theory of analytic functions. Also they are relevant for many applications, for example to statistical learning theory and pattern recognition. The present volume contains a selection of papers which deal with different aspects of reproducing kernel Hilbert spaces. Topics considered include one complex variable theory, differential operators, the theory of self-similar systems, several complex variables, and the non-commutative case. The book is of interest to a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists.

Orthogonal Systems and Convolution Operators

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764369293
Total Pages : 264 pages
Book Rating : 4.3/5 (692 download)

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Book Synopsis Orthogonal Systems and Convolution Operators by : Robert Ellis

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.

Spectral Methods for Operators of Mathematical Physics

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Publisher : Birkhäuser
ISBN 13 : 3034879474
Total Pages : 247 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Spectral Methods for Operators of Mathematical Physics by : Jan Janas

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.

Advances in Pseudo-Differential Operators

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764371401
Total Pages : 252 pages
Book Rating : 4.3/5 (714 download)

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Book Synopsis Advances in Pseudo-Differential Operators by : Ryuichi Ashino

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.

New Difference Schemes for Partial Differential Equations

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Publisher : Birkhäuser
ISBN 13 : 3034879229
Total Pages : 453 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis New Difference Schemes for Partial Differential Equations by : Allaberen Ashyralyev

Download or read book New Difference Schemes for Partial Differential Equations written by Allaberen Ashyralyev and published by Birkhäuser. This book was released on 2012-12-06 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores new difference schemes for approximating the solutions of regular and singular perturbation boundary-value problems for PDEs. The construction is based on the exact difference scheme and Taylor's decomposition on the two or three points, which permits investigation of differential equations with variable coefficients and regular and singular perturbation boundary value problems.

The State Space Method

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764373702
Total Pages : 292 pages
Book Rating : 4.3/5 (737 download)

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Book Synopsis The State Space Method by : Daniel Alpay

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.

Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 3764374535
Total Pages : 307 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems by : Karl-Heinz Förster

Download or read book Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems written by Karl-Heinz Förster and published by Springer Science & Business Media. This book was released on 2006-03-16 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of recent original research papers in operator theory in Krein spaces, on generalized Nevanlinna functions, which are closely connected with this theory, and on nonlinear eigenvalue problems. Key topics include: spectral theory for normal operators; perturbation theory for self-adjoint operators in Krein spaces; and, models for generalized Nevanlinna functions.

Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations

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Publisher : Birkhäuser
ISBN 13 : 3034880731
Total Pages : 444 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations by : Sergio Albeverio

Download or read book Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations written by Sergio Albeverio and published by Birkhäuser. This book was released on 2012-12-06 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on recent developments in non-linear and hyperbolic equations. It will be a most valuable resource for researchers in applied mathematics, the theory of wavelets, and in mathematical and theoretical physics. Nine up-to-date contributions have been written on invitation by experts in the respective fields. The book is the third volume of the subseries "Advances in Partial Differential Equations".

Singular Integral Operators, Factorization and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764369477
Total Pages : 412 pages
Book Rating : 4.3/5 (694 download)

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Book Synopsis Singular Integral Operators, Factorization and Applications by : Albrecht Böttcher

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.

Recent Advances in Inverse Scattering, Schur Analysis and Stochastic Processes

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Publisher : Birkhäuser
ISBN 13 : 3319103350
Total Pages : 396 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Recent Advances in Inverse Scattering, Schur Analysis and Stochastic Processes by : Daniel Alpay

Download or read book Recent Advances in Inverse Scattering, Schur Analysis and Stochastic Processes written by Daniel Alpay and published by Birkhäuser. This book was released on 2015-04-30 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume is dedicated to Lev Sakhnovich, who made fundamental contributions in operator theory and related topics. Besides bibliographic material, it includes a number of selected papers related to Lev Sakhnovich's research interests. The papers are related to operator identities, moment problems, random matrices and linear stochastic systems.