Finite Sections of Band-Dominated Operators

Finite Sections of Band-Dominated Operators PDF Author: Steffen Roch
Publisher:
ISBN: 9781470405014
Category : Operator algebras
Languages : en
Pages : 104

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Book Description
Intends to review the advances and to present the results in the numerical analysis of the finite sections method for general band and band-dominated operators. This title addresses topics such as the stability of the finite sections method and the asymptotic behavior of singular values.

Finite Sections of Band-Dominated Operators

Finite Sections of Band-Dominated Operators PDF Author: Steffen Roch
Publisher:
ISBN: 9781470405014
Category : Operator algebras
Languages : en
Pages : 104

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Book Description
Intends to review the advances and to present the results in the numerical analysis of the finite sections method for general band and band-dominated operators. This title addresses topics such as the stability of the finite sections method and the asymptotic behavior of singular values.

Finite Sections of Band-Dominated Operators

Finite Sections of Band-Dominated Operators PDF Author: Steffen Roch
Publisher: American Mathematical Soc.
ISBN: 0821840428
Category : Mathematics
Languages : en
Pages : 104

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Book Description
The goal of this text is to review recent advances and to present new results in the numerical analysis of the finite sections method for general band and band-dominated operators. The main topics are the stability of the finite sections method and the asymptotic behavior of singular values. The latter topic is closely related with compactness and Fredholm properties of approximation sequences, and the paper can also serve as an introduction into this remarkable field of numerical analysis. Further the author discusses the behavior of approximation numbers, determinants, essential spectra and essential pseudospectra as well as the localization of pseudomodes of finite sections of band-dominated operators.

Band Dominated Operators with Operator Valued Coefficients, Their Fredholm Properties and Finite Sections

Band Dominated Operators with Operator Valued Coefficients, Their Fredholm Properties and Finite Sections PDF Author: Vladimir S. Rabinovič
Publisher:
ISBN:
Category :
Languages : en
Pages : 45

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Book Description


Algebras of Approximation Sequences

Algebras of Approximation Sequences PDF Author: Vladimir S. Rabinovich
Publisher:
ISBN:
Category :
Languages : en
Pages : 18

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Book Description


Infinite Matrices and their Finite Sections

Infinite Matrices and their Finite Sections PDF Author: Marko Lindner
Publisher: Springer Science & Business Media
ISBN: 3764377674
Category : Mathematics
Languages : en
Pages : 203

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Book Description
This book is concerned with the study of infinite matrices and their approximation by matrices of finite size. The main concepts presented are invertibility at infinity (closely related to Fredholmness), limit operators, and the stability and convergence of finite matrix approximations. Concrete examples are used to illustrate the results throughout, including discrete Schrödinger operators and integral and boundary integral operators arising in mathematical physics and engineering.

Limit Operators and Their Applications in Operator Theory

Limit Operators and Their Applications in Operator Theory PDF Author: Vladimir Rabinovich
Publisher: Birkhäuser
ISBN: 3034879113
Category : Mathematics
Languages : en
Pages : 404

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Book Description
This is the first monograph devoted to a fairly wide class of operators, namely band and band-dominated operators and their Fredholm theory. The main tool in studying this topic is limit operators. Applications are presented to several important classes of such operators: convolution type operators and pseudo-differential operators on bad domains and with bad coefficients.

Operator Theory, Pseudo-Differential Equations, and Mathematical Physics

Operator Theory, Pseudo-Differential Equations, and Mathematical Physics PDF Author: Yuri I. Karlovich
Publisher: Springer Science & Business Media
ISBN: 3034805373
Category : Mathematics
Languages : en
Pages : 425

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Book Description
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.​

Modern Operator Theory and Applications

Modern Operator Theory and Applications PDF Author: Yakob M. Erusalimskii
Publisher: Springer Science & Business Media
ISBN: 3764377372
Category : Mathematics
Languages : en
Pages : 260

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Book Description
This volume is dedicated to the eminent Russian mathematician I.B. Simonenko on the occasion of his 70th birthday. It presents recent results in Fredholm theory for singular integral and convolution operators, estimates for singular integral operators on Carleson curves acting in Lp spaces with variable exponents, the finite sections method for band-dominated and Toeplitz operators, Szegö type theorems, the averaging method for nonlinear equations, among others.

Operator Algebras, Operator Theory and Applications

Operator Algebras, Operator Theory and Applications PDF Author: Maria Amélia Bastos
Publisher: Springer Science & Business Media
ISBN: 3764386843
Category : Mathematics
Languages : en
Pages : 443

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Book Description
This book is composed of three survey lecture courses and some twenty invited research papers presented to WOAT 2006 - the International Summer School and Workshop on Operator Algebras, Operator Theory and Applications, held at Lisbon in September 2006. The volume reflects recent developments in the area of operator algebras and their interaction with research fields in complex analysis and operator theory. The book is aimed at postgraduates and researchers in these fields.

Modern Trends in Pseudo-Differential Operators

Modern Trends in Pseudo-Differential Operators PDF Author: Joachim Toft
Publisher: Springer Science & Business Media
ISBN: 3764381167
Category : Mathematics
Languages : en
Pages : 338

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Book Description
The ISAAC Group in Pseudo-Differential Operators (IGPDO) met at the Fifth ISAAC Congress held at Università di Catania in Italy in July, 2005. This volume consists of papers based on lectures given at the special session on pseudodifferential operators and invited papers that bear on the themes of IGPDO. Nineteen peer-reviewed papers represent modern trends in pseudo-differential operators. Diverse topics related to pseudo-differential operators are covered.