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arXiv · 0804.1948

Characterization of unitary processes with independent and stationary increments

Lingaraj Sahu·Kalyan B. Sinha
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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.

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Lingaraj Sahu, Kalyan B. Sinha. 2008-04-11. Characterization of unitary processes with independent and stationary increments. https://arxiv.org/abs/0804.1948

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