Talks given at NuHAG events

A structural theorem for generalized Gelfand-Shilov spaces, quasianalytic and nonquasianalytic case

  Maja Taskovic
    University of Novi Sad, Department of Mathematics

  given at  strobl07 (17.06.07)
  id:  744
  length:  min
  status:  accepted
  type:  poster
Generalized Gelfand-Shilov spaces S^{Mp} are subspaces of Denjoy-Carleman classes C^{Mp} which are appropriate for Fourier Analysis. Examples of generalized Gelfand-Shilov spaces are Sato space F, Braun-Meise-Taylor space and all non-trivial Gelfand-Shilov spaces.

We prove that every element of the dual space S^{Mp}' can be represented as the action of a partial-differential operator of infinite order on a continuous bounded function.

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