A First Course in Harmonic Analysis

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Springer, 2002 - Mathematics - 151 pages
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This primer in harmonic analysis gives a lean and stream-lined introduction to the central concepts of this beautiful 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. This book introduces Fourier analysis, leading up to the Poisson Summation Formula, as well as the techniques used in harmonic analysis of noncommutative groups.

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Fourier Series
Hilbert Spaces
The Fourier Transform

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About the author (2002)

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.

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