English

A note of spaces of test and generalized functions of Poisson white noise

Probability 2007-05-23 v1

Abstract

The paper is devoted to construction and investigation of some riggings of the L2L^2-space of Poisson white noise. A particular attention is paid to the existence of a continuous version of a function from a test space, and to the property of an algebraic structure under pointwise multiplication of functions from a test space.

Keywords

Cite

@article{arxiv.math/0608383,
  title  = {A note of spaces of test and generalized functions of Poisson white noise},
  author = {E. Lytvynov},
  journal= {arXiv preprint arXiv:math/0608383},
  year   = {2007}
}