Numerical Fourier Analysis
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Beschreibung
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.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.First unified presentation of Fourier theory and corresponding algorithms Covers many recent highly recognized developments in numerical Fourier analysis The code of most of the presented algorithms is available in public software packages of the authors
Autor*in
Gerlind Plonka
Themen in »Numerical Fourier Analysis«
fourier analysis fourier series fourier transforms discrete fourier transforms fast fourier transforms multidimensional fourier methods fft sparse fft chebyshev methods discrete cosine transforms discrete polynomial transforms nonequispaced fft high-dimensional fft fft on rank-1 lattices fast spherical fourier transform