The XFT Quadrature in Discrete Fourier Analysis

• Main Author: Campos, Rafael G. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Edition: 1st ed. 2019.
• Series: Applied and Numerical Harmonic Analysis,
• Subjects: Special functions.; Functions of real variables.; Integral transforms.; Operational calculus.; Special Functions.; Real Functions.; Integral Transforms, Operational Calculus.

This book has two main objectives, the first of which is to extend the power of numerical Fourier analysis and to show by means of theoretical examples and numerous concrete applications that when computing discrete Fourier transforms of periodic and non periodic functions, the usual kernel matrix o...

Table of Contents:

• Introduction
• The ordinary discrete Fourier transform
• XFT: A discrete Fourier transform
• Applications of the XFT
• A discrete fractional Fourier transform.