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Numerical Fourier Analysis

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Numerical Fourier Analysis

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Description

This book offers a unified presentation of Fourier theory and corresponding algorithms emerging from new developments in function approximation using Fourier methods. It starts with a detailed discussion of classical Fourier theory to enable readers to grasp the construction and analysis of advanced fast Fourier algorithms introduced in the second part, such as  nonequispaced  and sparse FFTs in higher dimensions. Lastly, it contains a selection of numerical applications, including recent research results on nonlinear function approximation by exponential sums. The code of most of the presented algorithms is available in the authors’ public domain software packages. Students and researchers alike benefit from this unified presentation of Fourier theory and corresponding algorithms.
Release date NZ
February 28th, 2019
Audience
  • Professional & Vocational
Edition
1st ed. 2018
Illustrations
30 Illustrations, color; 21 Illustrations, black and white; XVI, 618 p. 51 illus., 30 illus. in color.
Pages
618
ISBN-13
9783030043056
Product ID
28485154

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