Distributions, Fourier Transforms And Some Of Their Applications To Physics - Couverture souple

Schücker, Thomas

 
9789810205355: Distributions, Fourier Transforms And Some Of Their Applications To Physics
Couverture souple
ISBN 10 : 981020535X ISBN 13 : 9789810205355
Editeur : Wspc, 1991

Synopsis

In this book, distributions are introduced via sequences of functions. This approach due to Temple has two virtues: - It only presupposes standard calculus.- It allows to justify manipulations necessary in physical applications.The Fourier transform is defined for functions and generalized to distributions, while the Green function is defined as the outstanding application of distributions. Using Fourier transforms, the Green functions of the important linear differential equations in physics are computed. Linear algebra is reviewed with emphasis on Hilbert spaces. The author explains how linear differential operators and Fourier transforms naturally fit into this frame, a point of view that leads straight to generalized fourier transforms and systems of special functions like spherical harmonics, Hermite, Laguerre, and Bessel functions.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

In this book, distributions are introduced via sequences of functions. This approach due to Temple has two virtues: - It only presupposes standard calculus.- It allows to justify manipulations necessary in physical applications.The Fourier transform is defined for functions and generalized to distributions, while the Green function is defined as the outstanding application of distributions. Using Fourier transforms, the Green functions of the important linear differential equations in physics are computed. Linear algebra is reviewed with emphasis on Hilbert spaces. The author explains how linear differential operators and Fourier transforms naturally fit into this frame, a point of view that leads straight to generalized fourier transforms and systems of special functions like spherical harmonics, Hermite, Laguerre, and Bessel functions.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Wspc
Date d'édition
1991
Langue
anglais
ISBN 10 
981020535X
ISBN 13 
9789810205355
Reliure
Broché
Nombre de pages
180
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

Friedensallee 273
Hamburg
22763
Allemagne