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The XFT Quadrature in Discrete Fourier Analysis on Hardback by Rafael G. Campos
The XFT Quadrature in Discrete Fourier Analysis on Hardback by Rafael G. Campos
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The XFT Quadrature in Discrete Fourier Analysis

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Description

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 of the Fourier transform, the discrete Fourier transform (DFT), should be replaced by another kernel matrix, the eXtended Fourier transform (XFT), since the XFT matrix appears as a convergent quadrature of a more general transform, the fractional Fourier transform. In turn, the book’s second goal is to present the XFT matrix as a finite-dimensional transformation that links certain discrete operators in the same way that the corresponding continuous operators are related by the Fourier transform, and to show that the XFT matrix accordingly generates sequences of matrix operators that represent continuum operators, and which allow these operators to be studied from another perspective.
Release date NZ
June 11th, 2019
Pages
235
Edition
1st ed. 2019
Audience
  • Professional & Vocational
Illustrations
96 Illustrations, color; 4 Illustrations, black and white; XIII, 235 p. 100 illus., 96 illus. in color.
ISBN-13
9783030134228
Product ID
29145027

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The XFT Quadrature in Discrete Fourier Analysis by Rafael G. Campos
$317.00
The XFT Quadrature in Discrete Fourier Analysis
by Rafael G. Campos ~ Paperback / softback
Available - Usually ships in 3-4 weeks

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