nLab
ultradistribution

Ultradistribution is an element of the space 𝒡′\mathcal{Z}' dual to the space 𝒡\mathcal{Z} of test functions whose Fourier transform is in the space π’Ÿ\mathcal{D} of infinitely differentiable functions of compact support.

Related nnLab pages include distribution

  • R. F. Hoskins, J. Sousa Pinto, Theories of generalized functions: Dis- tributions, ultradistributions and other generalized functions, 2nd. edition Woodhead Publ., Philadelphia 2011.
  • Rui Vilela Mendes, Stochastic solutions of nonlinear PDE’s and an extension of superprocesses, arxiv/1209.3263
  • Morisuke Hasumi, Note on the nn-tempered ultra-distributions, Tohoku Math. J. (2) 13 (1961), no. 1, 94–104 doi euclid
  • J. Sousa Pinto, R. F. Hoskins, A nonstandard definition of finite order ultradistributions, Proc. Indian Acad. Sci. - Mathematical Sciences (1999) 109:4, pp 389–395 doi
category: analysis

Created on October 4, 2016 at 09:03:23. See the history of this page for a list of all contributions to it.