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Numerical Fourier analysis

Plonka, Gerlind.

Numerical Fourier analysis

Record Type:	Electronic resources : Monograph/item
Title/Author:	Numerical Fourier analysisby Gerlind Plonka ... [et al.].
other author:	Plonka, Gerlind.
Published:	Cham :Springer International Publishing :2018.
Description:	xvi, 618 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Fourier analysis.
Online resource:	https://doi.org/10.1007/978-3-030-04306-3
ISBN:	9783030043063$q(electronic bk.)

Numerical Fourier analysis
Numerical Fourier analysis[electronic resource] /by Gerlind Plonka ... [et al.]. - Cham :Springer International Publishing :2018. - xvi, 618 p. :ill. (some col.), digital ;24 cm. - Applied and numerical harmonic analysis,2296-5009. - Applied and numerical harmonic analysis..

Fourier series -- Fourier transforms -- Discrete Fourier transforms -- Multidimensional Fourier methods -- Fast Fourier transforms -- Chebyshev methods and fast DCT algorithms -- Fast Fourier transforms for nonequispaced data -- High dimensional FFT -- Numerical applications of DFT -- Prony method for reconstruction of structured functions.

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.

ISBN: 9783030043063$q(electronic bk.)

Standard No.: 10.1007/978-3-030-04306-3doiSubjects--Topical Terms:

184626
Fourier analysis.

LC Class. No.: QA403.5

Dewey Class. No.: 515.2433

Numerical Fourier analysis
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245 0 0 $a Numerical Fourier analysis $h [electronic resource] / $c by Gerlind Plonka ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2018.
300 $a xvi, 618 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Applied and numerical harmonic analysis, $x 2296-5009
505 0 $a Fourier series -- Fourier transforms -- Discrete Fourier transforms -- Multidimensional Fourier methods -- Fast Fourier transforms -- Chebyshev methods and fast DCT algorithms -- Fast Fourier transforms for nonequispaced data -- High dimensional FFT -- Numerical applications of DFT -- Prony method for reconstruction of structured functions.
520 $a 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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