Description: Xft Quadrature in Discrete Fourier Analysis, Hardcover by Campos, Rafael G., ISBN 3030134229, ISBN-13 9783030134228, Like New Used, Free shipping in the US
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, th’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.
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Book Title: Xft Quadrature in Discrete Fourier Analysis
Number of Pages: Xiii, 235 Pages
Publication Name: Xft Quadrature in Discrete Fourier Analysis
Language: English
Publisher: Springer International Publishing A&G
Publication Year: 2019
Subject: Mathematical Analysis, Discrete Mathematics
Item Weight: 19.3 Oz
Type: Textbook
Item Length: 9.3 in
Subject Area: Mathematics
Author: Rafael G. Campos
Series: Applied and Numerical Harmonic Analysis Ser.
Item Width: 6.1 in
Format: Hardcover
