Numerical Fourier Analysis

Numerical Fourier Analysis

Author
G. Plonka, D. Potts, G. Steidl, M. Tasche
Publisher
Birkhäuser
Language
English
Edition
1
Year
2018
Page
624
ISBN
978-3-030-04306-3, 978-3-030-04305-6
File Type
pdf
File Size
9.2 MiB

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.

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