Описание: An Introduction to Non-Harmonic Fourier Series, Revised Edition is an update of a widely known and highly respected classic textbook.Throughout the book, material has also been added on recent developments, including stability theory, the frame radius, and applications to signal analysis and the co
Автор: Heil Название: Harmonic Analysis and Applications ISBN: 0817637788 ISBN-13(EAN): 9780817637781 Издательство: Springer Рейтинг: Цена: 14024 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A self-contained volume in honor of John J. Benedetto that examines a wide range of topics in harmonic analysis and related areas. The book provides an excellent reference and contains authoritative expositions that will be of lasting interest.
Автор: Hewitt Название: Abstract Harmonic Analysis ISBN: 0387941908 ISBN-13(EAN): 9780387941905 Издательство: Springer Рейтинг: Цена: 15427 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book is based on courses given by E. Hewitt at the University of Washington and the University of Uppsala. The book is intended to be readable by
students who have had basic graduate courses in real analysis, set-theoretic topology, and algebra.
That is, the reader should know elementary set theory, set-theoretic
topology, measure theory, and algebra. The book begins with preliminaries in notation and terminology, group theory, and topology. It continues with elements of the theory of topological
groups, the integration on locally compact spaces, and invariant functionals.
The book concludes with convolutions and group representations, and characters and duality of
locally compact Abelian groups.
Название: Analysis of harmonic maps and their heat flows, the ISBN: 9812779523 ISBN-13(EAN): 9789812779526 Издательство: World Scientific Publishing Рейтинг: Цена: 11050 р. Наличие на складе: Поставка под заказ.
Описание: This book provides a broad yet comprehensive introduction to the analysis of harmonic maps and their heat flows. The first part of the book contains many
important theorems on the regularity of minimizing harmonic maps by Schoen-Uhlenbeck, stationary harmonic maps between Riemannian manifolds in higher dimensions by Evans and
Bethuel, and weakly harmonic maps from Riemannian surfaces by Helein, as well as on the structure of a singular set of minimizing harmonic maps and stationary harmonic maps by
Simon and Lin.The second part of the book contains a systematic coverage of heat flow of harmonic maps that includes Eells-Sampson's theorem on global smooth solutions, Struwe's
almost regular solutions in dimension two, Sacks-Uhlenbeck's blow-up analysis in dimension two, Chen-Struwe's existence theorem on partially smooth solutions, and blow-up analysis in
higher dimensions by Lin and Wang. The book can be used as a textbook for the topic course of advanced graduate students and for researchers who are interested in geometric
partial differential equations and geometric analysis.
Описание: This volume contains contributions on recent results in infinite dimensional harmonic analysis and its applications to probability theory. Some papers deal with
purely analytic topics such as Frobenius reciprocity, diffeomorphism groups, equivariant fibrations and Harish-Chandra modules. Several other papers touch upon stochastic processes,
in particular Levy processes.
The majority of the contributions emphasize on the algebraic-topological aspects of the theory by choosing configuration spaces, locally compact
groups and hypergroups as their basic structures. The volume provides a useful survey of innovative work pertaining to a highly actual section of modern analysis in its pure and applied
shapings.
Автор: Yitzhak Katznelson Название: An Introduction to Harmonic Analysis ISBN: 0521838290 ISBN-13(EAN): 9780521838290 Издательство: Cambridge Academ Рейтинг: Цена: 9159 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: First published in 1968, An Introduction to Harmonic Analysis has firmly established itself as a classic text and a favorite for students and experts alike. Professor Katznelson starts the book with an exposition of classical Fourier series. The aim is to demonstrate the central ideas of harmonic analysis in a concrete setting, and to provide a stock of examples to foster a clear understanding of the theory. Once these ideas are established, the author goes on to show that the scope of harmonic analysis extends far beyond the setting of the circle group, and he opens the door to other contexts by considering Fourier transforms on the real line as well as a brief look at Fourier analysis on locally compact abelian groups. This new edition has been revised by the author, to include several new sections and a new appendix.
Описание: This work has arisen from lecture courses given by the authors on important topics within functional analysis. The authors, who are all leading researchers, give introductions to their subjects at a level ideal for beginning graduate students, and others interested in the subject. The collection has been carefully edited so as to form a coherent and accessible introduction to current research topics. The first chapter by Professor Dales introduces the general theory of Banach algebras, which serves as a background to the remaining material. Dr Willis then studies a centrally important Banach algebra, the group algebra of a locally compact group. The remaining chapters are devoted to Banach algebras of operators on Banach spaces: Professor Eschmeier gives all the background for the exciting topic of invariant subspaces of operators, and discusses some key open problems; Dr Laursen and Professor Aiena discuss local spectral theory for operators, leading into Fredholm theory.
Автор: Yitzhak Katznelson Название: An Introduction to Harmonic Analysis ISBN: 0521543592 ISBN-13(EAN): 9780521543590 Издательство: Cambridge Academ Рейтинг: Цена: 3746 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: First published in 1968, An Introduction to Harmonic Analysis has firmly established itself as a classic text and a favorite for students and experts alike. Professor Katznelson starts the book with an exposition of classical Fourier series. The aim is to demonstrate the central ideas of harmonic analysis in a concrete setting, and to provide a stock of examples to foster a clear understanding of the theory. Once these ideas are established, the author goes on to show that the scope of harmonic analysis extends far beyond the setting of the circle group, and he opens the door to other contexts by considering Fourier transforms on the real line as well as a brief look at Fourier analysis on locally compact abelian groups. This new edition has been revised by the author, to include several new sections and a new appendix.
Описание: This volume deals with the regularity theory for elliptic systems. We may find the origin of such a theory in two of the problems posed by David Hilbert in his celebrated lecture delivered on the occasion of the International Congress of Mathematicians in 1900 in Paris: - 19th problem: are the solutions to regular problems in the Calculus of Variations always necessarily analytic? - 20th problem: does any variational problem have a solution, provided that certain assumptions regarding the given boundary conditions are satisfied, and provided that the notion of a solution is suitably extended? During the last century these two problems have generated a great deal of work, usually referred to as is in regularity theory, which makes this topic quite relevant in many fields and still very active for research. However, the purpose of this volume, addressed mainly to students, is much more limited. We aim to illustrate only some of the basic ideas and techniques introduced in this context, confining ourselves to important but simple situations and refraining from completeness. In fact some relevant topics are omitted. Topics include: harmonic functions, direct methods, Hilbert space methods and Sobolev spaces, energy estimates, Schauder and Lp-theory both with and without potential theory, including the Calderon Zygmund theorem, Harnack's and De Giorgi-Moser-Nash theorems in the scalar case and partial regularity theorems in the vector valued case; finally, harmonic maps and minimal graphs in codimension 1 and greater than 1.
Автор: FГјhr Hartmut Название: Abstract Harmonic Analysis of Continuous Wavelet Transforms ISBN: 3540242597 ISBN-13(EAN): 9783540242598 Издательство: Springer Рейтинг: Цена: 4203 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups. The connection is demonstrated by the discussion of a toy example, and then employed for two purposes: Mathematically, it serves as a powerful tool, yielding existence results and criteria for inversion formulae which generalize many of the known results. Moreover, the connection provides the starting point for a – reasonably self-contained – exposition of Plancherel theory. Therefore, the volume can also be read as a problem-driven introduction to the Plancherel formula.
Автор: Byrnes J.S. Название: Twentieth Century Harmonic Analysis - A Celebration ISBN: 0792371690 ISBN-13(EAN): 9780792371694 Издательство: Springer Рейтинг: Цена: 10284 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Almost a century ago, harmonic analysis entered a (still continuing) Golden Age, with the emergence of many great masters throughout Europe. They created a wealth of profound analytic methods, to be successfully exploited and further developed by succeeding generations. This flourishing of harmonic analysis is today as lively as ever, as the papers presented here demonstrate. In addition to its own ongoing internal development and its basic role in other areas of mathematics, physics and chemistry, financial analysis, medicine, and biological signal processing, harmonic analysis has made fundamental contributions to essentially all twentieth century technology-based human endeavours, including telephone, radio, television, radar, sonar, satellite communications, medical imaging, the Internet, and multimedia. This ubiquitous nature of the subject is amply illustrated. The book not only promotes the infusion of new mathematical tools into applied harmonic analysis, but also to fuel the development of applied mathematics by providing opportunities for young engineers, mathematicians and other scientists to learn more about problem areas in today's technology that might benefit from new mathematical insights.
