Characterization of unitary processes with independent and stationary increments
Functional Analysis
2008-04-14 v1
Abstract
This is a continuation of the earlier work \cite{SSS} to characterize stationary unitary increment Gaussian processes. The earlier assumption of uniform continuity is replaced by weak continuity and with a technical assumption on the domain of the generator, unitary equivalence of the processes to the solution of Hudson-Parthasarathy equation is proved.
Cite
@article{arxiv.0804.1948,
title = {Characterization of unitary processes with independent and stationary increments},
author = {Lingaraj Sahu and Kalyan B. Sinha},
journal= {arXiv preprint arXiv:0804.1948},
year = {2008}
}
Comments
35 pages