Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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REAL VERSION OF PALEY-WIENER-SCHWARTZ THEOREM FOR ULTRADISTRIBUTIONS WITH ULTRADIFFERENTIABLE SINGULAR SUPPORT

  • Cho, Jong-Gyu (Department of Mathematics, Seoul National University) ;
  • Kim, Kwang-Whoi (Department of Mathematics, Education, Jeonju University)
  • Published : 1999.08.01
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Abstract

We extend the Paley-Wiener-Schwartz theorem to the space of ultradistributions with respect to ultradifferentiable singular support and obtain its real version. That is, we obtain the growth condition in some tubular neighborhood of n of the Fourier transform of ultradistributions of Roumieu (or Beurling) type with ultradifferentiable singular support contained in a ball centered at the origin, and its real version.

Keywords

References

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