Download Book Fourier Analysis and Applications : Filtering, Numerical Computation, Wavelets

PDF by Claude Gasquet, Patrick Witomski
Information
Format: PDF Publication Date of the Electronic Edition: 1999
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ISBN: 9781461272113, 9781461215981
Description
The object of this book is two-fold -- on the one hand it conveys to mathematical readers a rigorous presentation and exploration of the important applications of analysis leading to numerical calculations. On the other hand, it presents physics readers with a body of theory in which the well-known formulae find their justification. The basic study of fundamental notions, such as Lebesgue integration and theory of distribution, allow the establishment of the following areas: Fourier analysis and convolution Filters and signal analysis time-frequency analysis (gabor transforms and wavelets). The whole is rounded off with a large number of exercises as well as selected worked-out solutions.
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