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Methods of Applied Fourier Analysis

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"The author has written a very careful, complete and readable introduction…. The treatment is mathematically sophisticated and precise…. This distinguishes the text and and makes it a very valuable reference for professionals interested in all relevant applications of Fourier analysis. This book would also be appropriate as a text for a graduate course in mathematics of advanced engineering."

—Mathematical Reviews

Author(s): Jayakumar Ramanathan (auth.)
Series: Applied and Numerical Harmonic Analysis
Edition: 1
Publisher: Birkhäuser Basel
Year: 1998

Language: English
Pages: 329
Tags: Fourier Analysis; Applications of Mathematics; Computational Science and Engineering

Front Matter....Pages i-xii
Periodic Functions....Pages 1-29
Hardy Spaces....Pages 31-61
Prediction Theory....Pages 63-86
Discrete Systems and Control Theory....Pages 87-121
Harmonic Analysis in Euclidean Space....Pages 123-157
Distributions....Pages 159-186
Functions with Restricted Transforms....Pages 187-217
Phase Space....Pages 219-261
Wavelet Analysis....Pages 263-300
Back Matter....Pages 301-329