Bibliograph

Numerical Fourier Analysis, by Gerlind Plonka, Daniel Potts, Gabriele Steidl, Manfred Tasche

Type

Label

Numerical Fourier Analysis, by Gerlind Plonka, Daniel Potts, Gabriele Steidl, Manfred Tasche

Language

eng

resource.imageBitDepth

Literary Form

non fiction

Main title

Numerical Fourier Analysis

Medium

electronic resource

Nature of contents

dictionaries

Oclc number

1085541475

Responsibility statement

by Gerlind Plonka, Daniel Potts, Gabriele Steidl, Manfred Tasche

Series statement

Applied and Numerical Harmonic Analysis,, 2296-5009Springer eBooksSpringer eBooks.

Summary

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.--, Provided by publisher

Table Of Contents

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

Contributor

Creator