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 $\mathcal{D}$ of infinitely differentiable functions of compact support.

Related $n$Lab 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 PDEβs and an extension of superprocesses*, arxiv/1209.3263 - Morisuke Hasumi,
*Note on the $n$-tempered ultra-distributions*, Tohoku Math. J. (2) 13 (1961), no. 1, 94β104 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 389β395 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.