Fourier Analysis and Applications: Filtering, Numerical Computation, Wavelets (Texts in Applied Mathematics) by Claude Gasquet (Author), Patrick Witomski (Author), R. Ryan (Translator)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.
1999th Edition, ISBN: 0387984852, 1461272114
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