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Numerical Fourier Analysis

eBook - Applied and Numerical Harmonic Analysis

Potts, Daniel/Tasche, Manfred/Steidl, Gabriele et al
Erschienen am 05.02.2019, Auflage: 1/2019
CHF 161,90
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Bibliografische Daten
ISBN/EAN: 9783030043063
Sprache: Englisch
Umfang: 0 S., 9.30 MB
E-Book
Format: PDF
DRM: Digitales Wasserzeichen

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.

Inhalt

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.

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