Commutative Harmonic Analysis I

Commutative Harmonic Analysis I

General Survey. Classical Aspects

Mitarbeit: Havin, Victor P.; Nikolski, Nikolai K.
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This is the first volume in the subseries Commutative Harmonic Analysis of the EMS. It is intended for anyone who wants to get acquainted with the discipline. The first article is a large introduction, also serving as a guide to the rest of the volume. Starting from Fourier analysis of periodic function, then going through the Fourier transform and distributions, the exposition leads the reader to the group theoretic point of view. Numerous examples illustrate the connections to differential and integral equations, approximation theory, number theory, probability theory and physics. The articl...