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Full Description
This volume presents a development of the ideas of harmonic analysis with a special emphasis on application-oriented themes. In keeping with the interdisciplinary nature of the subject, theoretical aspects of the subject are complemented by in-depth explorations of related material of an applied nature. Thus, basic material on Fourier series, Hardy spaces and the Fourier transform are interwoven with chapters treating the discrete Fourier transform and fast algorithms, the spectral theory of stationary processes, H-infinity control theory, and wavelet theory.
Contents
Periodic functions; hardy spaces; prediction theory; discrete systems and control theory; harmonic analysis in Euclidean space; distributions; functions with restricted transforms; phase space; wavelet analysis; the discrete Fourier transform; the Hermite functions.
