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| Author | : Gerrit van Dijk |
| Publisher | : Walter de Gruyter |
| Total Pages | : 234 |
| Release | : 2009-12-23 |
| Genre | : Mathematics |
| ISBN | : 3110220202 |
Download Introduction to Harmonic Analysis and Generalized Gelfand Pairs Book in PDF, ePub and Kindle
This book is intended as an introduction to harmonic analysis and generalized Gelfand pairs. Starting with the elementary theory of Fourier series and Fourier integrals, the author proceeds to abstract harmonic analysis on locally compact abelian groups and Gelfand pairs. Finally a more advanced theory of generalized Gelfand pairs is developed. This book is aimed at advanced undergraduates or beginning graduate students. The scope of the book is limited, with the aim of enabling students to reach a level suitable for starting PhD research. The main prerequisites for the book are elementary real, complex and functional analysis. In the later chapters, familiarity with some more advanced functional analysis is assumed, in particular with the spectral theory of (unbounded) self-adjoint operators on a Hilbert space. From the contents Fourier series Fourier integrals Locally compact groups Haar measures Harmonic analysis on locally compact abelian groups Theory and examples of Gelfand pairs Theory and examples of generalized Gelfand pairs
| Author | : Gerrit van Dijk |
| Publisher | : Walter de Gruyter |
| Total Pages | : 234 |
| Release | : 2009 |
| Genre | : Mathematics |
| ISBN | : 3110220199 |
Download Introduction to Harmonic Analysis and Generalized Gelfand Pairs Book in PDF, ePub and Kindle
The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.
| Author | : Tullio Ceccherini-Silberstein |
| Publisher | : Springer Nature |
| Total Pages | : 153 |
| Release | : 2020-09-25 |
| Genre | : Mathematics |
| ISBN | : 3030516075 |
Download Gelfand Triples and Their Hecke Algebras Book in PDF, ePub and Kindle
This monograph is the first comprehensive treatment of multiplicity-free induced representations of finite groups as a generalization of finite Gelfand pairs. Up to now, researchers have been somehow reluctant to face such a problem in a general situation, and only partial results were obtained in the one-dimensional case. Here, for the first time, new interesting and important results are proved. In particular, after developing a general theory (including the study of the associated Hecke algebras and the harmonic analysis of the corresponding spherical functions), two completely new highly nontrivial and significant examples (in the setting of linear groups over finite fields) are examined in full detail. The readership ranges from graduate students to experienced researchers in Representation Theory and Harmonic Analysis.
| Author | : Travis D Andrews |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 489 |
| Release | : 2013-01-04 |
| Genre | : Mathematics |
| ISBN | : 0817683763 |
Download Excursions in Harmonic Analysis, Volume 1 Book in PDF, ePub and Kindle
The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consists of contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at the University of Maryland, College Park. These volumes span a large spectrum of harmonic analysis and its applications. They are divided into the following parts: Volume I · Sampling Theory · Remote Sensing · Mathematics of Data Processing · Applications of Data Processing Volume II · Measure Theory · Filtering · Operator Theory · Biomathematics Each part provides state-of-the-art results, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government. Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center is an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics.
| Author | : Rupert Lasser |
| Publisher | : World Scientific |
| Total Pages | : 621 |
| Release | : 2022-12-06 |
| Genre | : Mathematics |
| ISBN | : 9811266212 |
Download Harmonic Analysis On Hypergroups: Approximation And Stochastic Sequences Book in PDF, ePub and Kindle
The book aims at giving a monographic presentation of the abstract harmonic analysis of hypergroups, while combining it with applied topics of spectral analysis, approximation by orthogonal expansions and stochastic sequences. Hypergroups are locally compact Hausdorff spaces equipped with a convolution, an involution and a unit element. Related algebraic structures had already been studied by Frobenius around 1900. Their axiomatic characterisation in harmonic analysis was later developed in the 1970s. Hypergoups naturally emerge in seemingly different application areas as time series analysis, probability theory and theoretical physics.The book presents harmonic analysis on commutative and polynomial hypergroups as well as weakly stationary random fields and sequences thereon. For polynomial hypergroups also difference equations and stationary sequences are considered. At greater extent than in the existing literature, the book compiles a rather comprehensive list of hypergroups, in particular of polynomial hypergroups. With an eye on readers at advanced undergraduate and graduate level, the proofs are generally worked out in careful detail. The bibliography is extensive.
| Author | : Vladimir I. Bogachev |
| Publisher | : Springer Nature |
| Total Pages | : 586 |
| Release | : 2020-02-25 |
| Genre | : Mathematics |
| ISBN | : 3030382192 |
Download Real and Functional Analysis Book in PDF, ePub and Kindle
This book is based on lectures given at "Mekhmat", the Department of Mechanics and Mathematics at Moscow State University, one of the top mathematical departments worldwide, with a rich tradition of teaching functional analysis. Featuring an advanced course on real and functional analysis, the book presents not only core material traditionally included in university courses of different levels, but also a survey of the most important results of a more subtle nature, which cannot be considered basic but which are useful for applications. Further, it includes several hundred exercises of varying difficulty with tips and references. The book is intended for graduate and PhD students studying real and functional analysis as well as mathematicians and physicists whose research is related to functional analysis.
| Author | : Yitzhak Katznelson |
| Publisher | : Cambridge University Press |
| Total Pages | : 342 |
| Release | : 2004-01-05 |
| Genre | : Mathematics |
| ISBN | : 9780521543590 |
Download An Introduction to Harmonic Analysis Book in PDF, ePub and Kindle
Publisher description
| Author | : Lynn H. Loomis |
| Publisher | : Courier Corporation |
| Total Pages | : 210 |
| Release | : 2013-05-09 |
| Genre | : Mathematics |
| ISBN | : 0486282317 |
Download Introduction to Abstract Harmonic Analysis Book in PDF, ePub and Kindle
Written by a prominent figure in the field of harmonic analysis, this classic monograph is geared toward advanced undergraduates and graduate students and focuses on methods related to Gelfand's theory of Banach algebra. 1953 edition.
| Author | : M. Sugiura |
| Publisher | : Elsevier |
| Total Pages | : 469 |
| Release | : 1990-03-01 |
| Genre | : Mathematics |
| ISBN | : 0080887597 |
Download Unitary Representations and Harmonic Analysis Book in PDF, ePub and Kindle
The principal aim of this book is to give an introduction to harmonic analysis and the theory of unitary representations of Lie groups. The second edition has been brought up to date with a number of textual changes in each of the five chapters, a new appendix on Fatou's theorem has been added in connection with the limits of discrete series, and the bibliography has been tripled in length.
| Author | : Alessandro Figa-Talamanca |
| Publisher | : CRC Press |
| Total Pages | : 164 |
| Release | : 2020-11-26 |
| Genre | : Mathematics |
| ISBN | : 1000153290 |
Download Harmonic Analysis on Free Groups Book in PDF, ePub and Kindle
This book presents an account of recent results on the theory of representations and the harmonic analysis of free groups. It emphasizes the analogy with the theory of representations of noncompact semisimple Lie groups and restricts the focus to a class of irreducible unitary representations.
