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Numerical Fourier Analysis, 1st ed. 2018 Applied and Numerical Harmonic Analysis Series

Langue : Anglais

Auteurs :

Couverture de l’ouvrage Numerical Fourier Analysis

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.


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.
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


Date de parution :

Ouvrage de 618 p.

15.5x23.5 cm

Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).

Prix indicatif 116,04 €

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