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Talks given at NuHAG events

Kernel Theorem for the space of generalized Gelfand-Shilov spaces


  Dusanka Perisic

  given at  strobl07 (19.06.07 09:00)
  id:  798
  length:  25min
  status:  accepted
  type:  talk
  LINK-Presentation: 
  ABSTRACT:
est space of tempered ultradistributions of Beurling - Komatsu and Roumieu �Komatsu type can be identified (in both quasianalitic and nonquasianalitic case) with the spaces of sequences of ultrapolynomal falloff and their dual spaces with the space of sequences of ultrapolynomial growth.
We prove these characterizations of the spaces and use them to give a simple proof of the kernel theorem for the space of tempered ultradistributions of Beurling - Komatsu type. As a consequence of the kernel theorem we have that the Weyl transform can be extended on a space of tempered ultradistributions of Beurling - Komatsu type.


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