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Numerical Fourier Analysis (Applied and Numerical Harmonic 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.

yazar:Gerlind Plonka Daniel Potts Gabriele Steidl
Isbn 10:3030043053
Isbn 13:978-3030043056
yayınevi:Birkhäuser
dil:İngilizce
Boyutlar ve boyutlar:15.6 x 3.51 x 23.39 cm
Tarafından gönderildi
Numerical Fourier Analysis (Applied and Numerical Harmonic Analysis):
28 Şubat 2019