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Operators and Function Theory, S.C. Power


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Автор: S.C. Power
Название:  Operators and Function Theory
ISBN: 9789027720085
Издательство: Springer
Классификация:
ISBN-10: 9027720088
Обложка/Формат: Hardcover
Страницы: 383
Вес: 0.74 кг.
Дата издания: 30.04.1985
Серия: Nato Science Series C:
Язык: English
Размер: 234 x 156 x 24
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: In the modern study of Hilbert space operators there has been an increasingly subtle involvement with analytic function theory. This is evident in the analysis of subnormal operators, Toeplitz operators and Hankel operators, for example. On the other hand the operator theoretic viewpoint of interpolation by analytic functions is a powerful one. There has been significant activity in recent years, within these enriching interactions, and the time seemed right for an overview ot the main lines of development. The Advanced Study Institute Operators and Function Theory in Lancaster, 1984, was devoted to this, and this book contains ex- panded versions (and one contraction) of the main lecture prog- ramme. These varied articles, by prominent researchers, include, for example, a survey of recent results on subnormal operators, recent work of Soviet mathematicians on Hankel and Toeplitz operators, expositions of the decomposition theory and inter- polation theory for Bergman, Besov and Bloch spaces, with applic- ations for special operators, the Krein space approach to inter- polation problems, -- and much more. It is hoped that these proceedings will bring all this lively mathematics to a wider audience. Sincere thanks are due to the Scientific Committee of the North Atlantic Treaty Organisation for the generous support that made the institute possible, and to the London Mathematical Society and the British Council for important additional support. Warm thanks also go to Barry Johnson and the L.M.S. for early guidance, and to my colleague Graham Jameson for much organisational support.

Function Spaces, Differential Operators and Nonlinear Analysis

Автор: Dorothee Haroske; Thomas Runst; Hans-J?rgen Schmei
Название: Function Spaces, Differential Operators and Nonlinear Analysis
ISBN: 3034894147 ISBN-13(EAN): 9783034894142
Издательство: Springer
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Цена: 46570.00 T
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Описание: In a series of books Hans Triebel has given systematic treatments of the theory of function spaces from different points of view, thus revealing its interdependence with interpolation theory, harmonic analysis, partial differential equations, nonlinear operators, entropy, spectral theory and, most recently, anal- ysis on fractals.

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: 102480.00 T
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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.

Digital Signal Processing: Theory and Practice

Автор: Rao K. Deergha, Swamy M. N. S.
Название: Digital Signal Processing: Theory and Practice
ISBN: 9811080801 ISBN-13(EAN): 9789811080807
Издательство: Springer
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Цена: 65210.00 T
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Описание:

The book provides a comprehensive exposition of all major topics in digital signal processing (DSP). With numerous illustrative examples for easy understanding of the topics, it also includes MATLAB-based examples with codes in order to encourage the readers to become more confident of the fundamentals and to gain insights into DSP. Further, it presents real-world signal processing design problems using MATLAB and programmable DSP processors. In addition to problems that require analytical solutions, it discusses problems that require solutions using MATLAB at the end of each chapter.
Divided into 13 chapters, it addresses many emerging topics, which are not typically found in advanced texts on DSP. It includes a chapter on adaptive digital filters used in the signal processing problems for faster acceptable results in the presence of changing environments and changing system requirements. Moreover, it offers an overview of wavelets, enabling readers to easily understand the basics and applications of this powerful mathematical tool for signal and image processing. The final chapter explores DSP processors, which is an area of growing interest for researchers. A valuable resource for undergraduate and graduate students, it can also be used for self-study by researchers, practicing engineers and scientists in electronics, communications, and computer engineering as well as for teaching one- to two-semester courses.

Semigroups of Operators -Theory and Applications

Автор: Jacek Banasiak; Adam Bobrowski; Miros?aw Lachowicz
Название: Semigroups of Operators -Theory and Applications
ISBN: 3319383736 ISBN-13(EAN): 9783319383736
Издательство: Springer
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Цена: 111790.00 T
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Описание: Many results, both from semi group theory itself and from the applied sciences, are phrased in discipline-specific languages and hence are hardly known to a broader community.

Hardy Operators, Function Spaces and Embeddings

Автор: David E. Edmunds; William D. Evans
Название: Hardy Operators, Function Spaces and Embeddings
ISBN: 3642060277 ISBN-13(EAN): 9783642060274
Издательство: Springer
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Цена: 88500.00 T
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Описание: Classical Sobolev spaces, based on Lebesgue spaces on an underlying domain with smooth boundary, are not only of considerable intrinsic interest but have for many years proved to be indispensible in the study of partial differential equations and variational problems.

Localization Problem in Index Theory of Elliptic Operators

Автор: Nazaikinskii Vladimir E
Название: Localization Problem in Index Theory of Elliptic Operators
ISBN: 3034805098 ISBN-13(EAN): 9783034805094
Издательство: Springer
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Цена: 60550.00 T
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Описание: The book deals with the localization approach to the index problem for elliptic operators. It covers both the general localization principle and its applications to specific problems, existing and new.


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