Автор: A. Feintuch; I. Gohberg Название: Nonselfadjoint Operators and Related Topics ISBN: 3034896638 ISBN-13(EAN): 9783034896634 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Estelle L. Basor; I. Gohberg Название: Toeplitz Operators and Related Topics ISBN: 3034896727 ISBN-13(EAN): 9783034896726 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Ilpo Laine; Seppo Rickman; Tuomas Sorvali Название: Complex Analysis Joensuu 1987 ISBN: 3540503706 ISBN-13(EAN): 9783540503705 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: K.E. Werner; L. Wuytack; E. Ng Название: Computational Aspects of Complex Analysis ISBN: 9400971230 ISBN-13(EAN): 9789400971233 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of the NATO Advanced Study Institute, Braunlage, Harz, Germany, July 26-August 6, 1982
Автор: Laszlo Kerchy; Ciprian I. Foias; Izrael Gohberg; H Название: Recent Advances in Operator Theory and Related Topics ISBN: 3034895399 ISBN-13(EAN): 9783034895392 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: These 35 refereed articles report on recent and original results in various areas of operator theory and connected fields, many of them strongly related to contributions of Sz.-Nagy. The scientific part of the book is preceeded by fifty pages of biographical material, including several photos.
Автор: M.A. Krasnosel`skii; P.P. Zabreyko; E.I. Pustylnik Название: Integral operators in spaces of summable functions ISBN: 9401015449 ISBN-13(EAN): 9789401015448 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The investigation of many mathematical problems is significantly simplified if it is possible to reduce them to equations involving continuous or com- pletely continuous operators in function spaces.
Автор: O. Bratteli; P.E.T. J?rgensen Название: Positive Semigroups of Operators, and Applications ISBN: 9400964862 ISBN-13(EAN): 9789400964860 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This means that semigroup theory may be applied directly to the study of the equation I`!.f = h on M. This was also true, although only implicitly, for the early work of Hille and Yosida on the Fokker-Planck equation, i.e., Equation (4) with c = O.
Автор: Vakhtang Kokilashvili; Alexander Meskhi; Humberto Название: Integral Operators in Non-Standard Function Spaces ISBN: 3319210173 ISBN-13(EAN): 9783319210179 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book, the result of the authors' long and fruitful collaboration, focuses on integral operators in new, non-standard function spaces and presents a systematic study of the boundedness and compactness properties of basic, harmonic analysis integral operators in the following function spaces, among others: variable exponent Lebesgue and amalgam spaces, variable Holder spaces, variable exponent Campanato, Morrey and Herz spaces, Iwaniec-Sbordone (grand Lebesgue) spaces, grand variable exponent Lebesgue spaces unifying the two spaces mentioned above, grand Morrey spaces, generalized grand Morrey spaces, and weighted analogues of some of them.
The results obtained are widely applied to non-linear PDEs, singular integrals and PDO theory. One of the book's most distinctive features is that the majority of the statements proved here are in the form of criteria.
The book is intended for a broad audience, ranging from researchers in the area to experts in applied mathematics and prospective students.
Описание: The theory of pseudo-differential operators (which originated as singular integral operators) was largely influenced by its application to function theory in one complex variable and regularity properties of solutions of elliptic partial differential equations. Given here is an exposition of some new classes of pseudo-differential operators relevan
Автор: A. B?ttcher; Solomon G. Mikhlin; R. Lehmann; Siegf Название: Singular Integral Operators ISBN: 3540159673 ISBN-13(EAN): 9783540159674 Издательство: Springer Рейтинг: Цена: 17468.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Albrecht B?ttcher; Yuri I. Karlovich Название: Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators ISBN: 3034898282 ISBN-13(EAN): 9783034898287 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Award-winning monograph of the Ferran Sunyer i Balaguer Prize 1997.This book is a self-contained exposition of the spectral theory of Toeplitz operators with piecewise continuous symbols and singular integral operators with piecewise continuous coefficients.
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