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A First Course in Harmonic Analysis (Graduate Texts in Mathematics)

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A First Course in Harmonic Analysis (Graduate Texts in Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

Includes bibliographical references (p. 147-149) and index.

Synopsis:

This book is a primer in harmonic analysis on the undergraduate level. It gives a lean and streamlined introduction to the central concepts of this beautiful and utile theory. In contrast to other books on the topic, A First Course in Harmonic Analysis is entirely based on the Riemann integral and metric spaces instead of the more demanding Lebesgue integral and abstract topology. Nevertheless, almost all proofs are given in full and all central concepts are presented clearly. The first aim of this book is to provide an introduction to Fourier analysis, leading up to the Poisson Summation Formula. The second aim is to make the reader aware of the fact that both principal incarnations of Fourier theory, 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. These techniques are explained in the context of matrix groups as a principal example.

Product Details

ISBN:
9780387953755
Author:
Deitmar, Anton
Author:
Deitmar, A.
Publisher:
Springer
Location:
New York
Subject:
Mathematical Analysis
Subject:
Group Theory
Subject:
Functional Analysis
Subject:
Infinity
Subject:
Harmonic analysis
Subject:
Mathematics - General
Series:
Graduate Texts in Mathematics
Publication Date:
20020231
Binding:
Hardcover
Language:
English
Illustrations:
Yes
Pages:
151
Dimensions:
9.60x6.38x.56 in. .89 lbs.

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Related Subjects

Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Group Theory

A First Course in Harmonic Analysis (Graduate Texts in Mathematics) New Hardcover
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Product details 151 pages Springer-Verlag - English 9780387953755 Reviews:
"Synopsis" by , This book is a primer in harmonic analysis on the undergraduate level. It gives a lean and streamlined introduction to the central concepts of this beautiful and utile theory. In contrast to other books on the topic, A First Course in Harmonic Analysis is entirely based on the Riemann integral and metric spaces instead of the more demanding Lebesgue integral and abstract topology. Nevertheless, almost all proofs are given in full and all central concepts are presented clearly. The first aim of this book is to provide an introduction to Fourier analysis, leading up to the Poisson Summation Formula. The second aim is to make the reader aware of the fact that both principal incarnations of Fourier theory, 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. These techniques are explained in the context of matrix groups as a principal example.
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