Fourier analysis and applications

the long version

"In all areas of modelling and numerical simulation, scientists and engineers are faced with problems that require a collection of mathematical tools ranging from the classical - Fourier transforms, convolution, distributions - to the more recent wavelet-based techniques.". "For this reason, the object of this text, which focuses on Fourier analysis, signal analysis, and filters, is twofold. On the one hand, it conveys to the mathematician a rigorous presentation illustrated with important practical applications of the theory, including a discussion of Fast Fourier Transform. On the other hand it imparts to the physicist and engineer a body of theory in which the well-known formulae find their justification.". "Senior undergraduate and graduate students in engineering, physics, and mathematics will find this book helpful. It will also serve as a useful reference for scientists and engineers who deal with modelling and signal processing."--BOOK JACKET.