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A First Course in Harmonic Analysis
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A First Course in Harmonic Analysis Paperback - 2005

by Anton Deitmar

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Details

  • Title A First Course in Harmonic Analysis
  • Author Anton Deitmar
  • Binding Paperback
  • Edition INTERNATIONAL ED
  • Condition New
  • Pages 192
  • Volumes 1
  • Language ENG
  • Publisher Springer, China
  • Date 2005-03-09
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index
  • Bookseller's Inventory # ria9780387228372_pod
  • ISBN 9780387228372 / 0387228373
  • Weight 0.77 lbs (0.35 kg)
  • Dimensions 9.26 x 6.2 x 0.41 in (23.52 x 15.75 x 1.04 cm)
  • Library of Congress subjects Harmonic analysis
  • Library of Congress Catalog Number 2004056613
  • Dewey Decimal Code 515.243

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From the publisher

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.

First line

The theory of Fourier series is concerned with the question of whether a given periodic function, such as the plot of a heartbeat or the signal of a radio pulsar, can be written as a sum of simple waves.

From the rear cover

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 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 Mricz 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.

About the author

Professor Deitmar holds a Chair in Pure Mathematics at the University of Exeter, U.K. He is a former Heisenberg fellow and was awarded the main prize of the Japanese Association of Mathematical Sciences in 1998. In his leisure time he enjoys hiking in the mountains and practicing Aikido.