Distributions, Fourier Transforms And Some Of Their Applications To Physics

Released on by Schucker Thomas
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  • Distributions, Fourier Transforms And Some Of Their Applications To Physics Book Detail

  • Author : Schucker Thomas
  • Release Date : 1991-04-22
  • Publisher : World Scientific Publishing Company
  • Genre : Science
  • Pages : 180
  • ISBN 13 : 9813104406
  • File Size : 44,44 MB
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Distributions, Fourier Transforms And Some Of Their Applications To Physics by Schucker Thomas PDF Summary

Book Description: 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.

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