ENGLISH

A First Course in Harmonic Analysis

By Anton Deitmar

Book information

Publisher
Springer
Year
2005
ISBN
0387228373, 9780387228372
LCC
QA403 .D44 2004
Language
english
Format
PDF
Filesize
1 MB (1165618 bytes)
Series
Universitext
Edition
2nd
Pages
189\189
Scanned
no
Time added
2011-06-04 13:46:07
Математика;Математический анализ

Description

Affordable softcover second edition of bestselling title (over 1000 copies sold of previous edition) A primer in harmonic analysis on the undergraduate level Gives a lean and streamlined introduction to the central concepts of this beautiful and utile theory. Entirely based on the Riemann integral and metric spaces instead of the more demanding Lebesgue integral and abstract topology. Almost all proofs are given in full and all central concepts are presented clearly. Provides an introduction to Fourier analysis, leading up to the Poisson Summation Formula. 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. Introduces 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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