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Introduction to the Theory of Singular Integral Operators with Shift, Viktor G. Kravchenko; Georgii S. Litvinchuk


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Автор: Viktor G. Kravchenko; Georgii S. Litvinchuk
Название:  Introduction to the Theory of Singular Integral Operators with Shift
ISBN: 9789401045155
Издательство: Springer
Классификация: ISBN-10: 9401045151
Обложка/Формат: Paperback
Страницы: 288
Вес: 0.44 кг.
Дата издания: 24.12.2012
Серия: Mathematics and Its Applications
Язык: English
Размер: 234 x 156 x 17
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: problem (0. 2) was the same u that of problem (0. 1). Incidentally, later on Mandzhavidze and Khvedclidze (I) and Simonenko (I) achieved a direct reduction of problem (0. 2) to problem (0. 1) with the help of conformal mappings. Apparenlly, the first paper in which SIES were considered was the paper by Vekua (2) published in 1948. Vekua verified that the equation (0. 3) where (1; C(f), 5 is the operator of ingular integration with a Cauchy kernel (Srp)( ) (. i)-I fr(T - t)-lrp(T)dT, W is the shift operator (WrpHt) = rp{a(t, in the case 01 = - (13,0, = 0., could be reduced to problem (0. 2). We note thai, in problem (0. 2), the shift ott) need not be a Carlemao shift, . ei., it is oot necessary that a . . (t):::: t for some integer 11 2, where ai(l) o(ok_dt)), 0(1(1):::: . For the first time, the condition 0, (1) == 1 appeared in BPAFS theory in connection with the study of the problem (0. 4) by Carle man (2) who, in particular, showed that problem (0. 4) Wall a natural generalization of the problem on the existence of an a. utomorphic function belonging to a certain group of Fucs. Thus, the paper by Vckua (2) is also the fint paper in which a singular integral equation with a non-Carieman 5hifl is on c sidered.


Introduction to the Theory of Singular Integral Operators with Shift

Автор: Viktor G. Kravchenko; Georgii S. Litvinchuk
Название: Introduction to the Theory of Singular Integral Operators with Shift
ISBN: 0792328647 ISBN-13(EAN): 9780792328643
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Devoted to the Fredholm theory of singular integral operators with shift in Lp, 1p. This book is suitable for graduate students and mathematicians.

Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift

Автор: Georgii S. Litvinchuk
Название: Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift
ISBN: 9401058776 ISBN-13(EAN): 9789401058773
Издательство: Springer
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Цена: 13974.00 р.
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Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift

Автор: Georgii S. Litvinchuk
Название: Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift
ISBN: 0792365496 ISBN-13(EAN): 9780792365495
Издательство: Springer
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Описание: Devoted to the solvability theory of characteristic singular integral equations and corresponding boundary value problems for analytic functions with a Carleman and non-Carleman shift. This title discusses the applications to mechanics, physics, and geometry of surfaces. It also contains a survey of the literature on closely related topics.

Singular Integral Operators

Автор: A. B?ttcher; Solomon G. Mikhlin; R. Lehmann; Siegf
Название: Singular Integral Operators
ISBN: 3540159673 ISBN-13(EAN): 9783540159674
Издательство: Springer
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Цена: 17468.00 р.
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Описание: 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. XII), and spline approximation methods for solving singular integral equations ( 4, Chap.

Singular Integral Operators and Related Topics

Автор: A. B?ttcher; I. Gohberg
Название: Singular Integral Operators and Related Topics
ISBN: 3034898819 ISBN-13(EAN): 9783034898812
Издательство: Springer
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Цена: 14673.00 р.
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Описание: 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.

Banach Algebras with Symbol and Singular Integral Operators

Автор: N. Krupnik
Название: Banach Algebras with Symbol and Singular Integral Operators
ISBN: 303485465X ISBN-13(EAN): 9783034854658
Издательство: Springer
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Цена: 11179.00 р.
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Описание: Using this the- ory, criteria were obtained for Fredholmness of one-dimensional singular integral operators with continuous coefficients [34 (42)], Wiener-Hopf operators [37], and multidimensional singular integral operators [38 (2)].

Singular Integral Operators

Автор: A. B?ttcher; Solomon G. Mikhlin; R. Lehmann; Siegf
Название: Singular Integral Operators
ISBN: 3642648924 ISBN-13(EAN): 9783642648922
Издательство: Springer
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Цена: 13974.00 р.
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Описание: 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

Автор: Albrecht B?ttcher; Marinus A. Kaashoek; Amarino Br
Название: Singular Integral Operators, Factorization and Applications
ISBN: 3764369477 ISBN-13(EAN): 9783764369477
Издательство: Springer
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Цена: 22359.00 р.
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Описание: 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; !> Operator Theoretical Methods in Diffraction Theory;

Factorization of Matrix Functions and Singular Integral Operators

Автор: Prof. Kevin F. Clancey; Prof. Israel Gohberg
Название: Factorization of Matrix Functions and Singular Integral Operators
ISBN: 3034854943 ISBN-13(EAN): 9783034854948
Издательство: Springer
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Цена: 11179.00 р.
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Описание: A few years aga the authors started a project of a book on the theory of systems of one-dimensional singular integral equa- tions which was planned as a continuation of the monograph by one of the authors and N.

Systems, Approximation, Singular Integral Operators, and Related Topics

Автор: Alexander A. Borichev; Nikolai K. Nikolski
Название: Systems, Approximation, Singular Integral Operators, and Related Topics
ISBN: 3034895348 ISBN-13(EAN): 9783034895347
Издательство: Springer
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Цена: 20962.00 р.
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Singular Integral Operators, Factorization and Applications

Автор: Albrecht B?ttcher; Marinus A. Kaashoek; Amarino Br
Название: Singular Integral Operators, Factorization and Applications
ISBN: 3034894015 ISBN-13(EAN): 9783034894012
Издательство: Springer
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Цена: 13974.00 р.
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Описание: 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; !> Operator Theoretical Methods in Diffraction Theory;

The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators

Автор: Koshmanenko
Название: The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators
ISBN: 3319295330 ISBN-13(EAN): 9783319295336
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This monograph presents the newly developed method of rigged Hilbert spaces as a modern approach in singular perturbation theory. A key notion of this approach is the Lax-Berezansky triple of Hilbert spaces embedded one into another, which specifies the well-known Gelfand topological triple. All kinds of singular interactions described by potentials supported on small sets (like the Dirac ?-potentials, fractals, singular measures, high degree super-singular expressions) admit a rigorous treatment only in terms of the equipped spaces and their scales. The main idea of the method is to use singular perturbations to change inner products in the starting rigged space, and the construction of the perturbed operator by the Berezansky canonical isomorphism (which connects the positive and negative spaces from a new rigged triplet). The approach combines three powerful tools of functional analysis based on the Birman-Krein-Vishik theory of self-adjoint extensions of symmetric operators, the theory of singular quadratic forms, and the theory of rigged Hilbert spaces. The book will appeal to researchers in mathematics and mathematical physics studying the scales of densely embedded Hilbert spaces, the singular perturbations phenomenon, and singular interaction problems.


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