Complex white noise analysis

Authors
Redfern, M
Citation
M. Redfern, Complex white noise analysis, INFIN DIMEN, 4(3), 2001, pp. 347-375
Citations number
22
Categorie Soggetti
Mathematics
Journal title
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS
ISSN journal
02190257 → ACNP
Volume
4
Issue
3
Year of publication
2001
Pages
347 - 375
Database
ISI
SICI code
0219-0257(200109)4:3<347:CWNA>2.0.ZU;2-0
Abstract
This paper describes a new space, (D-C*), of complex Wiener distributions f or the analysis of multi-parameter generalized stochastic processes theta : R-N --> (D-C*). For a certain class of functions F : C-m --> C and complex Wiener integrals Phi (1),...,Phi (m), F(Phi (1),....,Phi (m)) is defined a s an element of (D-C*) and its Fock space decomposition determined.