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Nonselfadjoint Operators and Related Topics, A. Feintuch; I. Gohberg


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Автор: A. Feintuch; I. Gohberg
Название:  Nonselfadjoint Operators and Related Topics
ISBN: 9783034896634
Издательство: Springer
Классификация:



ISBN-10: 3034896638
Обложка/Формат: Paperback
Страницы: 422
Вес: 0.69 кг.
Дата издания: 01.11.2012
Серия: Operator Theory: Advances and Applications
Язык: English
Размер: 244 x 170 x 23
Основная тема: Mathematics
Подзаголовок: Workshop on Operator Theory and Its Applications, Beersheva, February 24–28, 1992
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Our goal is to find Grabner bases for polynomials in four different sets of expressions: 1 x-, (1 - x)-1 (RESOL) X, 1 x- (1 - xy)-1 (EB) X, y-1, (1-yx)-1 y, (1_y)-1 (1-x)-1 (preNF) (EB) plus and (1 - xy)1/2 (1 - yx )1/2 (NF) (preNF) plus and Most formulas in the theory of the Nagy-Foias operator model NF] are polynomials in these expressions where x = T and y = T*. Complicated polynomials can often be simplified by applying replacement rules. For example, the polynomial (1 - xy)-2 - 2xy(1-xy)-2 + xy2 (1 - xy)-2 -1 simplifies to O. This can be seen by three applications of the replacement rule (1-xy) -1 xy -t (1 - xy)-1 -1 which is true because of the definition of (1-xy)-1. A replacement rule consists of a left hand side (LHS) and a right hand side (RHS). The LHS will always be a monomial. The RHS will be a polynomial whose terms are simpler (in a sense to be made precise) than the LHS. An expression is reduced by repeatedly replacing any occurrence of a LHS by the corresponding RHS. The monomials will be well-ordered, so the reduction procedure will terminate after finitely many steps. Our aim is to provide a list of substitution rules for the classes of expressions above. These rules, when implemented on a computer, provide an efficient automatic simplification process. We discuss and define the ordering on monomials later.


Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics

Автор: Dario A. Bini; Torsten Ehrhardt; Alexei Yu. Karlov
Название: Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics
ISBN: 3319491806 ISBN-13(EAN): 9783319491806
Издательство: Springer
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Цена: 20962.00 р.
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Описание: This book presents a collection of expository and research papers on various topics in matrix and operator theory, contributed by several experts on the occasion of Albrecht Bottcher`s 60th birthday.

Complex Analysis, Operators, and Related Topics

Автор: Victor P. Havin; Nikolai K. Nikolski
Название: Complex Analysis, Operators, and Related Topics
ISBN: 3034895410 ISBN-13(EAN): 9783034895415
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This volume is devoted to some topical problems and various applications of operator theory and its interplay with modern complex analysis. 30 carefully selected surveys and research papers are united by the "operator theoretic ideology" and systematic use of modern function theoretical techniques.

Toeplitz Operators and Related Topics

Автор: Estelle L. Basor; I. Gohberg
Название: Toeplitz Operators and Related Topics
ISBN: 3034896727 ISBN-13(EAN): 9783034896726
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This volume is dedicated to Harold Widom, a distinguished mathematician and renowned expert in the area of Toeplitz, Wiener-Hopf and pseudodifferential operators, on the occasion of his sixtieth birthday. The book opens with biographical material and a list of the mathematician's publications, this being followed by two papers based on Toeplitz lectures which he delivered at Tel Aviv University in March, 1993. The rest of the book consists of a selection of papers containing some recent achievements in the following areas: Szego-Widom asymptotic formulas for determinants of finite sections of Toeplitz matrices and their generalizations, the Fisher-Hartwig conjecture, random matrices, analysis of kernels of Toeplitz matrices, projectional methods and eigenvalue distribution for Toeplitz matrices, the Fredholm theory for convolution type operators, the Nehari interpolation problem with generalizations and applications, and Toeplitz-Hausdorff type theorems. The book will appeal to a wide audience of pure and applied mathematicians.

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.

Stable Perturbations Of Operators And Related Topics

Автор: Xue Yifeng
Название: Stable Perturbations Of Operators And Related Topics
ISBN: 9814383597 ISBN-13(EAN): 9789814383592
Издательство: World Scientific Publishing
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Цена: 15048.00 р.
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Описание: A collection of articles that covers topics that range from Markov processes, backward stochastic differential equations, stochastic partial differential equations, stochastic control, potential theory, functional inequalities, optimal stopping, portfolio selection, to risk measure and risk theory.

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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