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Stochastic Integral with respect to Cylindrical Wiener Process

Probability 2007-05-23 v1 Functional Analysis

Abstract

This paper is devoted to a construction of the stochastic It\^o integral with respect to infinite dimensional cylindrical Wiener process. The construction given is an alternative one to that introduced by DaPrato and Zabczyk [3]. The connection of the introduced integral with the integral defined by Walsh [9] is provided as well.

Keywords

Cite

@article{arxiv.math/0511512,
  title  = {Stochastic Integral with respect to Cylindrical Wiener Process},
  author = {Anna Karczewska},
  journal= {arXiv preprint arXiv:math/0511512},
  year   = {2007}
}

Comments

15 pages