A First Course in Harmonic Analysis [electronic resource] / by Anton Deitmar.
By: Deitmar, Anton [author.].
Contributor(s): SpringerLink (Online service).
Material type: TextSeries: Universitext: Publisher: New York, NY : Springer New York, 2005Edition: Second Edition.Description: XI, 192 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9780387275611.Subject(s): Functional analysis  Topology  Harmonic analysis  Topological Groups  Global analysis (Mathematics)  Functional Analysis  Topology  Abstract Harmonic Analysis  Topological Groups, Lie Groups  AnalysisAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 515.7 Online resources: Click here to access onlineItem type  Current location  Call number  Status  Date due  Barcode  Item holds  

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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 PeterWeyl Theorem  The Heisenberg Group.
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..." Sanjiv Kumar Gupta for MathSciNet "... In this wellwritten 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 This book is a primer in harmonic analysis using an elementary approach. Its first aim is to provide an introduction to Fourier analysis, leading up to the Poisson Summation Formula. Secondly, it makes the reader aware of the fact 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. The third goal of this book is to introduce the reader to the techniques used in harmonic analysis of noncommutative groups. There are two new chapters in this new edition. One on distributions will complete the set of real variable methods introduced in the first part. The other on the Heisenberg Group provides an example of a group that is neither compact nor abelian, yet is simple enough to easily deduce the Plancherel Theorem. Professor Deitmar is Professor of Mathematics at the University of T"ubingen, Germany. He is a former Heisenberg fellow and has taught in the U.K. for some years. In his leisure time he enjoys hiking in the mountains and practicing Aikido.
Other editions of this work
First course in harmonic analysis by Deitmar Anton  
First course in harmonic analysis by Deitmar Anton 
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