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Systems, Approximation, Singular Integral Operators, and Related Topics

Author : Alexander A. Borichev

Publisher : Birkhäuser

Page : 536 pages

File Size : 38,40 MB

Release : 2012-12-06

Category : Computers

ISBN : 3034883625

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Book Description

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 and Related Topics

Author : A. Böttcher

Publisher : Birkhäuser

Page : 325 pages

File Size : 13,5 MB

Release : 2012-12-06

Category : Mathematics

ISBN : 3034890400

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Book Description

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.



Approximation by Multivariate Singular Integrals

Author : George A. Anastassiou

Publisher : Springer Science & Business Media

Page : 88 pages

File Size : 29,91 MB

Release : 2011-07-25

Category : Mathematics

ISBN : 1461405890

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Book Description

Approximation by Multivariate Singular Integrals is the first monograph to illustrate the approximation of multivariate singular integrals to the identity-unit operator. The basic approximation properties of the general multivariate singular integral operators is presented quantitatively, particularly special cases such as the multivariate Picard, Gauss-Weierstrass, Poisson-Cauchy and trigonometric singular integral operators are examined thoroughly. This book studies the rate of convergence of these operators to the unit operator as well as the related simultaneous approximation. The last chapter, which includes many examples, presents a related Korovkin type approximation theorem for functions of two variables. Relevant background information and motivation is included in this exposition, and as a result this book can be used as supplementary text for several advanced courses. The results presented apply to many areas of pure and applied mathematics, such a mathematical analysis, probability, statistics and partial differential equations. This book is appropriate for researchers and selected seminars at the graduate level.



Singular Integral Operators

Author : Solomon G. Mikhlin

Publisher : Springer Science & Business Media

Page : 530 pages

File Size : 14,59 MB

Release : 1987

Category : Mathematics

ISBN : 9783540159674

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Book Description

The present edition differs from the original German one mainly in the following addi tional material: weighted norm inequalities for maximal functions and singular opera tors (§ 12, Chap. XI), polysingular integral operators and pseudo-differential operators (§§ 7, 8, Chap. XII), and spline approximation methods for solving singular integral equations (§ 4, Chap. XVII). Furthermore, we added two subsections on polynomial approximation methods for singular integral equations over an interval or with dis continuous coefficients (Nos. 3.6 and 3.7, Chap. XVII). In many places we incorporated new results which, in the vast majority, are from the last five years after publishing the German edition (note that the references are enlarged by about 150 new titles). S. G. Mikhlin wrote §§ 7, 8, Chap. XII, and the other additions were drawn up by S. Prossdorf. We wish to express our deepest gratitude to Dr. A. Bottcher and Dr. R. Lehmann who together translated the text into English carefully and with remarkable expertise.



Singular Integral Operators, Factorization and Applications

Author : Albrecht Böttcher

Publisher : Springer Science & Business Media

Page : 412 pages

File Size : 14,2 MB

Release : 2003-04-24

Category : Mathematics

ISBN : 9783764369477

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Book Description

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.



Factorization and Integrable Systems

Author : Israel Gohberg

Publisher : Springer Science & Business Media

Page : 234 pages

File Size : 18,52 MB

Release : 2003-04-24

Category : Gardening

ISBN : 9783764369385

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Book Description

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

Author : Sergio Albeverio

Publisher : Birkhäuser

Page : 444 pages

File Size : 33,37 MB

Release : 2012-12-06

Category : Mathematics

ISBN : 3034880731

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Book Description

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

Author : Ryuichi Ashino

Publisher : Springer Science & Business Media

Page : 252 pages

File Size : 37,25 MB

Release : 2004-08-20

Category : Mathematics

ISBN : 9783764371401

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Book Description

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

Author : Jan Janas

Publisher : Birkhäuser

Page : 247 pages

File Size : 30,6 MB

Release : 2012-12-06

Category : Science

ISBN : 3034879474

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Book Description

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.