Fourier Analysis and Applications : Filtering, Numerical Computation, Wavelets, PDF eBook

Fourier Analysis and Applications : Filtering, Numerical Computation, Wavelets PDF

Part of the Texts in Applied Mathematics series

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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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