Tempered Distributions and the Fourier Transform

  • Ram P. Kanwal


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


Fourier Transform Temper Distribution Inverse Fourier Transform Summation Formula Hermite Function 
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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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