On Differential Operators in White Noise Analysis |
| |
Authors: | Jürgen Potthoff |
| |
Institution: | (1) Lehrstuhl für Mathematik V, Fakultät für Mathematik und Informatik, Universität Mannheim, D–68131 Mannheim, Germany |
| |
Abstract: | White noise analysis is formulated on a general probability space which is such that (1) it admits a standard Brownian motion, and (2) its -algebra is generated by this Brownian motion (up to completion). As a special case, the white noise probability space with time parameter being the half-line is worked out in detail. It is shown that the usual differential operators can be defined on the smooth, finitely based functions of at most exponential growth via the chain rule, without supposing the existence of a linear structure (or translations) on the underlying probability space. |
| |
Keywords: | white noise analysis Malliavin calculus differential operators |
本文献已被 SpringerLink 等数据库收录! |
|