Characterization of unitary processes with independent and stationary increments

Details Characterization of unitary processes with independent and stationary increments Characterization of unitary processes with independent and stationary increments

2008-04-11

arxiv.org/abs/0804.1948v1

Mathematics

Functional Analysis

35 pages

Scientific paper

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.

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