SPECTRAL MULTIPLICITY OF SOME STOCHASTIC-PROCESSES

Authors
MITROVIC S
Citation
S. Mitrovic, SPECTRAL MULTIPLICITY OF SOME STOCHASTIC-PROCESSES, Proceedings of the American Mathematical Society, 126(1), 1998, pp. 239-243
Citations number
5
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
126
Issue
1
Year of publication
1998
Pages
239 - 243
Database
ISI
SICI code
0002-9939(1998)126:1<239:SMOSS>2.0.ZU;2-U
Abstract
In this paper we consider the connection between the canonical and the weak-canonical representations for the given second-order stochastic process in a separable Hilbert space and we extend a well-known theore m of H. Cramer concerning sufficient conditions for a process to be of multiplicity one.