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Tempered Distributions and the Fourier Transform

  • Ram P. Kanwal

Abstract

In attempting to define the Fourier transform of a distribution t (x), we would like to use the formula (in R 1)
$$ \hat t\left( u \right) = F\left( {t\left( x \right)} \right) = \int_{ - \infty }^\infty {e^{iux} t\left( x \right)dx.} $$
(1)
.

Keywords

Fourier Transform Temper Distribution Inverse Fourier Transform Summation Formula Hermite Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Ram P. Kanwal
    • 1
  1. 1.Department of MathematicsThe Pennsylvania State UniversityUniversity ParkUSA

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