Regular generalized functions in Gaussian analysis

Authors
Grothaus, M Kondratiev, YG Streit, L
Citation
M. Grothaus et al., Regular generalized functions in Gaussian analysis, INFIN DIMEN, 2(1), 1999, pp. 1-25
Citations number
36
Categorie Soggetti
Mathematics
Journal title
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS
ISSN journal
02190257 → ACNP
Volume
2
Issue
1
Year of publication
1999
Pages
1 - 25
Database
ISI
SICI code
0219-0257(199903)2:1<1:RGFIGA>2.0.ZU;2-Z
Abstract
The concepts of regular generalized functions in Gaussian analysis are pres ented. Spaces of regular generalized functions are characterized and their probabilistic structure is worked out. Finally, these concepts are applied to a nonlinear stochastic (Verhulst type) equation. Its solution is shown t o be a regular generalized process with martingale property.