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Distribution, Fourier Transform &...(V37)

by Schucker T

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Book Overview In this book, distributions are introduced via sequences of functions. This approach due to Temple has two virtues: It only presupposes ...

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.

Book Details Format: Hardcover | Pages: 167 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 981020535X
FormatHardcover
Pages167
LanguageEnglish
ISBN981020535X
EAN9789810205355
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date1970-01-01
AccessoriesNo Accessory
ConditionNew
Product TypeHARD COVER BOOKS
Weight0.83 Pounds
Length8.7 Inches
Width6.2 Inches
Height0.6 Inches
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