Distributions, Fourier Transforms And Some Of Their Applications To Physics
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A01=Thomas Schucker
Author_Thomas Schucker
Bessel Function
Category=PBW
Category=PH
Distributions
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Fourier Transforms
Green Functions
Heat Equation
Hilbert Spaces
Laplace Equation
Orthogonal Polynomials
Spherical Harmonics
Wave Equation
Product details
- ISBN 9789810205355
- Publication Date: 01 Apr 1991
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
