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Author : George Bachman
Publisher :
ISBN 13 :
Total Pages : 278 pages
Book Rating : 4.F/5 ( download)
Download or read book Elements of Abstract Harmonic Analysis written by George Bachman and published by . This book was released on 1964 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gerald B. Folland
Publisher : CRC Press
ISBN 13 : 1498727158
Total Pages : 317 pages
Book Rating : 4.4/5 (987 download)
Download or read book A Course in Abstract Harmonic Analysis written by Gerald B. Folland and published by CRC Press. This book was released on 2016-02-03 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Course in Abstract Harmonic Analysis is an introduction to that part of analysis on locally compact groups that can be done with minimal assumptions on the nature of the group. As a generalization of classical Fourier analysis, this abstract theory creates a foundation for a great deal of modern analysis, and it contains a number of elegant resul
Author : Charles William Bunn
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (959 download)
Download or read book Elements of Abstract Harmonic Analysis written by Charles William Bunn and published by . This book was released on 1964 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Bachman
Publisher : Elsevier
ISBN 13 : 1483267563
Total Pages : 269 pages
Book Rating : 4.4/5 (832 download)
Download or read book Elements of Abstract Harmonic Analysis written by George Bachman and published by Elsevier. This book was released on 2013-10-22 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elements of Abstract Harmonic Analysis provides an introduction to the fundamental concepts and basic theorems of abstract harmonic analysis. In order to give a reasonably complete and self-contained introduction to the subject, most of the proofs have been presented in great detail thereby making the development understandable to a very wide audience. Exercises have been supplied at the end of each chapter. Some of these are meant to extend the theory slightly while others should serve to test the reader's understanding of the material presented. The first chapter and part of the second give a brief review of classical Fourier analysis and present concepts which will subsequently be generalized to a more abstract framework. The next five chapters present an introduction to commutative Banach algebras, general topological spaces, and topological groups. The remaining chapters contain some of the measure theoretic background, including the Haar integral, and an extension of the concepts of the first two chapters to Fourier analysis on locally compact topological abelian groups.
Author : G. Bachman
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (841 download)
Download or read book Elements of Abstract Harmonic Analysis written by G. Bachman and published by . This book was released on 1964 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Bachman
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (844 download)
Download or read book Elements of abstract harmonic analysis, with the assistance of L. Marici written by George Bachman and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lynn H. Loomis
Publisher : Courier Corporation
ISBN 13 : 0486282317
Total Pages : 210 pages
Book Rating : 4.4/5 (862 download)
Download or read book Introduction to Abstract Harmonic Analysis written by Lynn H. Loomis and published by Courier Corporation. This book was released on 2013-05-09 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Edwin Hewitt
Publisher : Springer
ISBN 13 : 0387941908
Total Pages : 525 pages
Book Rating : 4.3/5 (879 download)
Download or read book Abstract Harmonic Analysis written by Edwin Hewitt and published by Springer. This book was released on 1994-01-20 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: When we acce pted th ekindinvitationof Prof. Dr. F. K. Scnxmrrto write a monographon abstract harmonic analysis for the Grundlehren. der Maihemaiischen Wissenscha/ten series,weintendedto writeall that wecouldfindoutaboutthesubjectin a textof about 600printedpages. We intended thatour book should be accessi ble tobeginners,and we hoped to makeit usefulto specialists as well. These aims proved to be mutually inconsistent. Hencethe presentvolume comprises onl y half of theprojectedwork. Itgives all ofthe structure oftopological groups neededfor harmonic analysisas it is known to u s; it treats integration on locallycompact groups in detail;it contains an introductionto the theory of group representati ons. In the second volume we will treat harmonicanalysisoncompactgroupsand locallycompactAbeliangroups, in considerable et d ail. Thebook is basedon courses given by E. HEWITT at the University of Washington and the University of Uppsala,althoughnaturallythe material of these courses has been en ormously expanded to meet the needsof a formal monograph. Like the. other treatments of harmonic analysisthathaveappeared since 1940,the book is a linealdescendant of A. WEIL'S fundamentaltreatise (WElL [4J)1. The debtof all workers in the field to WEIL'S work is wellknown and enormous. We havealso borrowed freely from LOOMIS'S treatmentof the subject (Lool\IIS[2 J), from NAIMARK [1J,and most especially from PONTRYA GIN [7]. In our exposition ofthestructur e of locally compact Abelian groups and of the PONTRYA GIN-VA N KAM PEN dualitytheorem,wehave beenstrongly influenced byPONTRYA GIN'S treatment. We hope to havejustified the writing of yet anothertreatiseon abstractharmonicanalysis by taking up recentwork, by writingoutthedetailsofeveryimportantconstruction andtheorem,andby including a largenumberof concrete ex amplesand factsnotavailablein other textbooks.
Author : Edwin Hewitt
Publisher :
ISBN 13 :
Total Pages : 794 pages
Book Rating : 4.3/5 (91 download)
Download or read book Abstract Harmonic Analysis: Structure and analysis for compact groups, analysis on locally compact Abelian groups written by Edwin Hewitt and published by . This book was released on 1963 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vol. I. Structure of topological groups, intégration theory group représentations. Vol. II, Structure and analysis for compact groups, Analysis on locally compact abelian groups.
Author : Lynn H. Loomis
Publisher : Franklin Classics Trade Press
ISBN 13 : 9780353241824
Total Pages : 202 pages
Book Rating : 4.2/5 (418 download)
Download or read book An Introduction to Abstract Harmonic Analysis written by Lynn H. Loomis and published by Franklin Classics Trade Press. This book was released on 2018-11-10 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : George Bachman
Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.:/5 (256 download)
Download or read book Elements of abstract harmonic analysis written by George Bachman and published by . This book was released on 1981 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Edwin Hewitt
Publisher :
ISBN 13 : 9783662267561
Total Pages : 788 pages
Book Rating : 4.2/5 (675 download)
Download or read book Abstract Harmonic Analysis written by Edwin Hewitt and published by . This book was released on 2014-01-15 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Edwin Hewitt
Publisher : Springer
ISBN 13 : 3642620086
Total Pages : 778 pages
Book Rating : 4.6/5 (426 download)
Download or read book Abstract Harmonic Analysis written by Edwin Hewitt and published by Springer. This book was released on 2013-12-21 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a continuation of vol. I (Grundlehren vol. 115, also available in softcover), and contains a detailed treatment of some important parts of harmonic analysis on compact and locally compact abelian groups. From the reviews: "This work aims at giving a monographic presentation of abstract harmonic analysis, far more complete and comprehensive than any book already existing on the subject...in connection with every problem treated the book offers a many-sided outlook and leads up to most modern developments. Carefull attention is also given to the history of the subject, and there is an extensive bibliography...the reviewer believes that for many years to come this will remain the classical presentation of abstract harmonic analysis." Publicationes Mathematicae
Author : Anton Deitmar
Publisher : Springer Science & Business Media
ISBN 13 : 0387854681
Total Pages : 336 pages
Book Rating : 4.3/5 (878 download)
Download or read book Principles of Harmonic Analysis written by Anton Deitmar and published by Springer Science & Business Media. This book was released on 2008-11-21 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The tread of this book is formed by two fundamental principles of Harmonic Analysis: the Plancherel Formula and the Poisson S- mation Formula. We ?rst prove both for locally compact abelian groups. For non-abelian groups we discuss the Plancherel Theorem in the general situation for Type I groups. The generalization of the Poisson Summation Formula to non-abelian groups is the S- berg Trace Formula, which we prove for arbitrary groups admitting uniform lattices. As examples for the application of the Trace F- mula we treat the Heisenberg group and the group SL (R). In the 2 2 former case the trace formula yields a decomposition of the L -space of the Heisenberg group modulo a lattice. In the case SL (R), the 2 trace formula is used to derive results like the Weil asymptotic law for hyperbolic surfaces and to provide the analytic continuation of the Selberg zeta function. We ?nally include a chapter on the app- cations of abstract Harmonic Analysis on the theory of wavelets. The present book is a text book for a graduate course on abstract harmonic analysis and its applications. The book can be used as a follow up of the First Course in Harmonic Analysis, [9], or indep- dently, if the students have required a modest knowledge of Fourier Analysis already. In this book, among other things, proofs are given of Pontryagin Duality and the Plancherel Theorem for LCA-groups, which were mentioned but not proved in [9].
Author : Edwin J. Hewitt
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (927 download)
Download or read book Abstract Harmonic Analysis written by Edwin J. Hewitt and published by . This book was released on 1970 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Edwin Hewitt
Publisher :
ISBN 13 :
Total Pages : 540 pages
Book Rating : 4.3/5 (91 download)
Download or read book Abstract Harmonic Analysis: Structure of topological groups, integration theory, group representations written by Edwin Hewitt and published by . This book was released on 1963 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Seung-Hyeok Kye
Publisher :
ISBN 13 :
Total Pages : 118 pages
Book Rating : 4.3/5 (91 download)
Download or read book Notes on Abstract Harmonic Analysis written by Seung-Hyeok Kye and published by . This book was released on 1994 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
