Distributions, Fourier Transforms And Some Of Their Applications To Physics

Thomas Schucker

ISBN 10: 981020535X / ISBN 13: 9789810205355

Editore: World Scientific Publishing Co Pte Ltd, SG, 1991

In this book, distributions are introduced via sequences of functions. This approach due to Temple has two virtues: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. Codice articolo LU-9789810205355

Riassunto:

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.

Product Description: Book by Schcker Thomas

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Titolo: Distributions, Fourier Transforms And Some ...
Casa editrice: World Scientific Publishing Co Pte Ltd, SG
Data di pubblicazione: 1991
Legatura: Hardback
Condizione: New