Téléchargez le livre : The XFT Quadrature in Discrete Fourier Analysis

The XFT Quadrature in Discrete Fourier Analysis

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Éditeur :

Birkhäuser


Collection :

Applied and Numerical Harmonic Analysis

Paru le : 2019-05-24

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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.
Pages
235 pages
Collection
Applied and Numerical Harmonic Analysis
Parution
2019-05-24
Marque
Birkhäuser
EAN papier
9783030134228
EAN PDF
9783030134235
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
23
Taille du fichier
16251 Ko
Prix
105,49 €
EAN EPUB
9783030134235
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
23
Taille du fichier
35666 Ko
Prix
105,49 €

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