Bild 1 von 1
Standardbild
Bild 1 von 1
Standardbild
PorterMonkeyBooks (425)
100% positive Bewertungen
Preis:
US $40,80
(inkl. MwSt.)
Ca.CHF 32,81
+ $25,40 Versand
Rücknahme:
30 Tage Rückgabe. Käufer zahlt Rückversand. Wenn Sie ein eBay-Versandetikett verwenden, werden die Kosten dafür von Ihrer Rückerstattung abgezogen.
Artikelzustand:
- Sofort-KaufenFirst Course Harmonic Analysis 2nd Ed Deitmar Fourier Signal Processing Physics
Oops! Looks like we're having trouble connecting to our server.
Refresh your browser window to try again.
Über dieses Produkt
Product Identifiers
PublisherSpringer New York
ISBN-100387228373
ISBN-139780387228372
eBay Product ID (ePID)43398584
Product Key Features
Number of PagesXi, 192 Pages
LanguageEnglish
Publication NameFirst Course in Harmonic Analysis
Publication Year2005
SubjectFunctional Analysis, Topology, Mathematical Analysis
FeaturesRevised
TypeTextbook
AuthorAnton Deitmar
Subject AreaMathematics
SeriesUniversitext Ser.
FormatTrade Paperback
Dimensions
Item Weight23.3 Oz
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Edition Number2
Intended AudienceScholarly & Professional
LCCN2004-056613
ReviewsFrom 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 Edition22
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal515/.2433
Table Of ContentFourier 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 DescriptionRevised edition
SynopsisThis 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 NumberQA319-329.9
