Ja n 20 04 q - LÉVY PROCESSES
نویسنده
چکیده
We continue the investigation of the Lévy processes on a q-deformed full Fock space started in [1]. First, we show that the vacuum vector is cyclic and separating for the algebra generated by such a process. Next, we describe a chaotic representation property for it in terms of multiple integrals with respect to diagonal measures, in the style of Nualart and Schoutens. We define stochas-tic integration with respect to these processes, and calculate their combinatorial stochastic measures. Finally, we show that they generate infinite von Neumann algebras.
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تاریخ انتشار 2004