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Ein erster Kurs in harmonischer Analyse von Anton Deitmar: Neu
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Artikelmerkmale
- Artikelzustand
- Book Title
- A First Course in Harmonic Analysis
- Publication Date
- 2005-03-09
- Edition Number
- 2
- Pages
- 192
- ISBN
- 9780387228372
Über dieses Produkt
Product Identifiers
Publisher
Springer New York
ISBN-10
0387228373
ISBN-13
9780387228372
eBay Product ID (ePID)
43398584
Product Key Features
Number of Pages
Xi, 192 Pages
Language
English
Publication Name
First Course in Harmonic Analysis
Publication Year
2005
Subject
Functional Analysis, Topology, Mathematical Analysis
Features
Revised
Type
Textbook
Subject Area
Mathematics
Series
Universitext Ser.
Format
Trade Paperback
Dimensions
Item Weight
23.3 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Edition Number
2
Intended Audience
Scholarly & Professional
LCCN
2004-056613
Reviews
From the reviews of the first edition:"This lovely book is intended as a primer in harmonic analysis at the undergraduate level. All the central concepts of harmonic analysis are introduced using Riemann integral and metric spaces only. The exercises at the end of each chapter are interesting and challenging; no solutions are given. …"Sanjiv Kumar Gupta for MathSciNet"… In this well-written textbook the central concepts of Harmonic Analysis are explained in an enjoyable way, while using very little technical background. Quite surprisingly this approach works. It is not an exaggeration that each undergraduate student interested in and each professor teaching Harmonic Analysis will benefit from the streamlined and direct approach of this book."Ferenc Móricz for Acta Scientiarum MathematicarumFrom the reviews of the second edition:"This is the second edition of a beautiful introduction to harmonic analysis accessible to undergraduates. … The first part deals with classical Fourier analysis, the second provides the extension to locally compact abelian groups, and the third part is concerned with noncommutative groups." (G. Teschl, Internationale Mathematische Nachrichten, Issue 202, 2006), From the reviews of the first edition: "This lovely book is intended as a primer in harmonic analysis at the undergraduate level. All the central concepts of harmonic analysis are introduced using Riemann integral and metric spaces only. The exercises at the end of each chapter are interesting and challenging; no solutions are given. ..." Sanjiv Kumar Gupta for MathSciNet "... In this well-written textbook the central concepts of Harmonic Analysis are explained in an enjoyable way, while using very little technical background. Quite surprisingly this approach works. It is not an exaggeration that each undergraduate student interested in and each professor teaching Harmonic Analysis will benefit from the streamlined and direct approach of this book." Ferenc Móricz for Acta Scientiarum Mathematicarum From the reviews of the second edition: "This is the second edition of a beautiful introduction to harmonic analysis accessible to undergraduates. ... The first part deals with classical Fourier analysis, the second provides the extension to locally compact abelian groups, and the third part is concerned with noncommutative groups." (G. Teschl, Internationale Mathematische Nachrichten, Issue 202, 2006)
Dewey Edition
22
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
515/.2433
Table Of Content
Fourier Analysis.- Fourier Series.- Hilbert Spaces.- The Fourier Transform.- Distributions.- LCA Groups.- Finite Abelian Groups.- LCA Groups.- The Dual Group.- Plancherel Theorem.- Noncommutative Groups.- Matrix Groups.- The Representations of SU(2).- The Peter-Weyl Theorem.- The Heisenberg Group.
Edition Description
Revised edition
Synopsis
This book provides an introduction to the central topics and techniques in harmonic analysis. In contrast to the competitive literature available, this book is based on the Riemann integral and metric spaces, in lieu of the Lebesgue integral and abstract topology. This edition has been revised to include two new chapters on distributions and the Heisenberg Group., This primer in harmonic analysis begins with an introduction to Fourier analysis, leading up to the Poisson Summation Formula. Next, it shows that both the Fourier series and the Fourier transform are special cases of a more general theory arising in the context of locally compact abelian groups. Finally, it introduces techniques used in harmonic analysis of noncommutative groups. Included are new chapters on distributions and on the Heisenberg Group., The second part of the book concludes with Plancherel's theorem in Chapter 8. This theorem is a generalization of the completeness of the Fourier series, as well as of Plancherel's theorem for the real line. The third part of the book is intended to provide the reader with a ?rst impression of the world of non-commutative harmonic analysis. Chapter 9 introduces methods that are used in the analysis of matrix groups, such as the theory of the exponential series and Lie algebras. These methods are then applied in Chapter 10 to arrive at a clas- ?cation of the representations of the group SU(2). In Chapter 11 we give the Peter-Weyl theorem, which generalizes the completeness of the Fourier series in the context of compact non-commutative groups and gives a decomposition of the regular representation as a direct sum of irreducibles. The theory of non-compact non-commutative groups is represented by the example of the Heisenberg group in Chapter 12. The regular representation in general decomposes as a direct integral rather than a direct sum. For the Heisenberg group this decomposition is given explicitly. Acknowledgements: I thank Robert Burckel and Alexander Schmidt for their most useful comments on this book. I also thank Moshe Adrian, Mark Pavey, Jose Carlos Santos, and Masamichi Takesaki for pointing out errors in the ?rst edition. Exeter, June 2004 Anton Deitmar LEITFADEN vii Leitfaden 1 2 3 5 4 6
LC Classification Number
QA319-329.9
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AlibrisBooks
98,6% positive Bewertungen•2.0 Mio. Artikel verkauft
Angemeldet als gewerblicher Verkäufer
Verkäuferbewertungen (516'026)
- s***e (9464)- Bewertung vom Käufer.Letzter MonatBestätigter KaufGREAT SELLER! THERE WAS AN ISSUE WITH THE CD AND THEY MADE IT RIGHT! RECOMMENDED!!!
- e***v (6)- Bewertung vom Käufer.Letzter MonatBestätigter KaufBook came quickly and in very very good shape
- a***5 (67)- Bewertung vom Käufer.Letzter MonatBestätigter KaufI don’t know why it was labeled shipped before the tracking number appeared, so that scared me. Otherwise a good book for a good price in good condition.