Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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LOCALIZATION AND MULTIPLICATION OF DISTRIBUTIONS

  • Richards, Ian (Department of Mathematics University of St. Thomas) ;
  • Youn, Hee-Kyung K. (Ian Richards University of Minnesota)
  • Published : 2000.05.01
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Abstract

Working within classical distribution theory, we develop notions of multiplication and convolution for tempered distributions which are general enough to encompass the classical cases -such as pointwise multiplication of continuous functions or the convolution of $L^1$ functions- which most textbook treatments of distribution theory leave out. Pains are taken to develop a theory which satisfies the commutative and asociative laws.

Keywords

References

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