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Numerical Fourier Analysis

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Numerical Fourier Analysis/ by Gerlind Plonka, Daniel Potts, Gabriele Steidl, Manfred Tasche.
作者:	Plonka, Gerlind.
其他作者:	Potts, Daniel.
面頁冊數:	XVI, 618 p. 51 illus., 30 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Harmonic analysis. -
電子資源:	https://doi.org/10.1007/978-3-030-04306-3
ISBN:	9783030043063

Numerical Fourier Analysis
Plonka, Gerlind.

Numerical Fourier Analysis[electronic resource] /by Gerlind Plonka, Daniel Potts, Gabriele Steidl, Manfred Tasche. - 1st ed. 2018. - XVI, 618 p. 51 illus., 30 illus. in color.online resource. - 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

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

672073
Harmonic analysis.

LC Class. No.: QA403-403.3

Dewey Class. No.: 515.785

Numerical Fourier Analysis
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