Numerical Fourier Analysis

• Main Authors: Plonka, Gerlind (Author, http://id.loc.gov/vocabulary/relators/aut), Potts, Daniel (http://id.loc.gov/vocabulary/relators/aut), Steidl, Gabriele (http://id.loc.gov/vocabulary/relators/aut), Tasche, Manfred (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Edition: 1st ed. 2018.
• Series: Applied and Numerical Harmonic Analysis,
• Subjects: Harmonic analysis.; Numerical analysis.; Information theory.; Matrix theory.; Algebra.; Abstract Harmonic Analysis.; Numerical Analysis.; Information and Communication, Circuits.; Linear and Multilinear Algebras, Matrix Theory.

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...

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.