Publikation: Monographie

Numerical Fourier analysis

Grunddaten
Abstract
Autoren
Einrichtung

Grunddaten

Titel	Numerical Fourier analysis
Erscheinungsjahr	2018
Verlag	Birkhäuser
Verlagsort	Cham
Seitenzahl	618
Serie	Applied and Numerical Harmonic Analysis
Publikationsform	Druckschrift
Publikationsart	Monographie
Sprache	Englisch
ISBN	978-3-030-04305-6
Letzte Änderung	24.10.2019 06:04:23
Bearbeitungsstatus	durch UB Rostock abschließend validiert
Dauerhafte URL	http://purl.uni-rostock.de/fodb/pub/60746
Links zu Katalogen

Abstract

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

Autoren

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

Einrichtung

MNF/Institut für Mathematik (IfMA)