Titre :	Introduction to Fourier analysis and généralised functions
Type de document :	texte imprimé
Auteurs :	M.J Lighthill, Auteur
Editeur :	Cambridge : Cambridge University Press
Année de publication :	1996
Importance :	79P
Présentation :	ill
Format :	21cmx13,5cm
ISBN/ISSN/EAN :	978-0-521-09128-2
Langues :	Anglais (eng) Langues originales : Anglais (eng)
Catégories :	AUTOMATISME:02 Théorie et traitement du signal
Mots-clés :	introduction  the theory of generalised functions and their Fourier transforms  definitions,properties and Fourier transforms of particular generalised functions  the asymptotic estimation of Fourier transforms  Fourier series .
Résumé :	This monograph on generalised functions, Fourier integrals and Fourier series is intended for readers who, while accepting that a theory where each point is proved is better than one based on conjecture, nevertheless seek a treatment as elementary and free from complications as possible. Little detailed knowledge of particular mathematical techniques is required; the book is suitable for advanced university students, and can be used as the basis of a short undergraduate lecture course. A valuable and original feature of the book is the use of generalised-function theory to derive a simple, widely applicable method of obtaining asymptotic expressions for Fourier transforms and Fourier coefficients.

Introduction to Fourier analysis and généralised functions [texte imprimé] / M.J Lighthill, Auteur . - Cambridge : Cambridge University Press, 1996 . - 79P : ill ; 21cmx13,5cm.
ISBN : 978-0-521-09128-2
Langues : Anglais (eng) Langues originales : Anglais (eng)

Catégories :	AUTOMATISME:02 Théorie et traitement du signal
Mots-clés :	introduction  the theory of generalised functions and their Fourier transforms  definitions,properties and Fourier transforms of particular generalised functions  the asymptotic estimation of Fourier transforms  Fourier series .
Résumé :	This monograph on generalised functions, Fourier integrals and Fourier series is intended for readers who, while accepting that a theory where each point is proved is better than one based on conjecture, nevertheless seek a treatment as elementary and free from complications as possible. Little detailed knowledge of particular mathematical techniques is required; the book is suitable for advanced university students, and can be used as the basis of a short undergraduate lecture course. A valuable and original feature of the book is the use of generalised-function theory to derive a simple, widely applicable method of obtaining asymptotic expressions for Fourier transforms and Fourier coefficients.