Fourier Analysis and Applications
Filtering, Numerical Computation, Wavelets
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Beschreibung
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.
This applied mathematics work focusses on Fourier Analysis, filters and signal analysis from an applications point of view, emphasizing areas such as signal processing. Scientists and engineers who have the need to model problems will find the techniques and applications of particular interest. The book contains a large amount of exercises and selected worked out solutions.
Autor*in
Claude Gasquet
Themen in »Fourier Analysis and Applications«
Fourier transform Gabor transform Signal Wavelet analysis convolution discrete Fourier transform modeling signal analysis
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From the reviews:
BULLETIN OF MATHEMATICS BOOKS
"This book should have wide appeal, from those who are just getting into the area and wish to learn mathematical foundations and applications to those who are already experienced and wish to have a reference that provides a mathematically rigorous coverage of the state of the art…The coverage is thorough but not overwhelming, perhaps because the chapters are divided into lessons, allowing the reader a chance to pause and think. The authors work clearly to impart an understanding of the theory and applications, and not just offer an encyclopedic tome."
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