Systems, Approximation, Singular Integral Operators, and Related Topics
Systems, Approximation, Singular Integral Operators, and Related Topics

Author: Alexander A. Borichev

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 536

ISBN-13: 3034883625

DOWNLOAD EBOOK

This book is devoted to some topical problems and applications of operator theory and its interplay with modern complex analysis. It consists of 20 selected survey papers that represent updated (mainly plenary) addresses to the IWOTA 2000 conference held at Bordeaux from June 13 to 16, 2000. The main subjects of the volume include: - spectral analysis of periodic differential operators and delay equations, stabilizing controllers, Fourier multipliers; - multivariable operator theory, model theory, commutant lifting theorems, coisometric realizations; - Hankel operators and forms; - operator algebras; - the Bellman function approach in singular integrals and harmonic analysis, singular integral operators and integral representations; - approximation in holomorphic spaces. These subjects are unified by the common "operator theoretic approach" and the systematic use of modern function theory techniques.

Singular Integral Operators, Factorization and Applications
Singular Integral Operators, Factorization and Applications

Author: Albrecht Böttcher

Publisher: Springer Science & Business Media

Published: 2003-04-24

Total Pages: 412

ISBN-13: 9783764369477

DOWNLOAD EBOOK

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.

The State Space Method
The State Space Method

Author: Daniel Alpay

Publisher: Springer Science & Business Media

Published: 2006

Total Pages: 292

ISBN-13: 9783764373702

DOWNLOAD EBOOK

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.

Factorization and Integrable Systems
Factorization and Integrable Systems

Author: Israel Gohberg

Publisher: Springer Science & Business Media

Published: 2003-04-24

Total Pages: 234

ISBN-13: 9783764369385

DOWNLOAD EBOOK

This volume comprises the specially prepared lecture notes of a a Summer School on "Factorization and Integrable Systems" held in September 2000 at the University of Algarve in Portugal. The main aim of the school was to review the modern factorization theory and its application to classical and quantum integrable systems. The program consisted of a number of short courses given by leading experts in the field.

Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations
Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations

Author: Sergio Albeverio

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 444

ISBN-13: 3034880731

DOWNLOAD EBOOK

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".

Advances in Pseudo-Differential Operators
Advances in Pseudo-Differential Operators

Author: Ryuichi Ashino

Publisher: Springer Science & Business Media

Published: 2004-08-20

Total Pages: 252

ISBN-13: 9783764371401

DOWNLOAD EBOOK

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.

Spectral Methods for Operators of Mathematical Physics
Spectral Methods for Operators of Mathematical Physics

Author: Jan Janas

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 247

ISBN-13: 3034879474

DOWNLOAD EBOOK

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.

Harmonic Analysis, Partial Differential Equations, and Related Topics
Harmonic Analysis, Partial Differential Equations, and Related Topics

Author: Estela A. Gavosto

Publisher: American Mathematical Soc.

Published: 2007

Total Pages: 186

ISBN-13: 0821840932

DOWNLOAD EBOOK

This collection of contributed articles comprises the scientific program of the fifth annual Prairie Analysis Seminar. All articles represent important current advances in the areas of partial differential equations, harmonic analysis, and Fourier analysis. A range of interrelated topics is presented, with articles concerning Painleve removability, pseudodifferential operators, $A p$ weights, nonlinear Schrodinger equations, singular integrals, the wave equation, the Benjamin-Ono equation, quasi-geostrophic equations, quasiconformal mappings, integral inclusions, Bellman function methods, weighted gradient estimates, Hankel operators, and dynamic optimization problems. Most importantly, the articles illustrate the fruitful interaction between harmonic analysis, Fourier analysis, and partial differential equations, and illustrate the successful application of techniques and ideas from each of these areas to the others.

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

Author: Samuil D. Eidelman

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 395

ISBN-13: 3034878443

DOWNLOAD EBOOK

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.

New Difference Schemes for Partial Differential Equations
New Difference Schemes for Partial Differential Equations

Author: Allaberen Ashyralyev

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 453

ISBN-13: 3034879229

DOWNLOAD EBOOK

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.