Publications of the Research Institute for Mathematical Sciences

Unitary processes with independent increments and representations of Hilbert tensor algebras

Lingaraj Sahu, Michael Schürmann, and Kalyan B. Sinha

Source: Publ. Res. Inst. Math. Sci. Volume 45, Number 3 (2009), 745-786.

Abstract

The aim of this article is to characterize unitary increment process by a quantum stochastic integral representation on symmetric Fock space. Under certain assumptions we have proved its unitary equivalence to a Hudson-Parthasarathy flow.

Primary Subjects: 81S25, 47D03, 60G51

Full-text: Open access

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.prims/1249478964
Digital Object Identifier: doi:10.2977/prims/1249478964
Zentralblatt MATH identifier: 05625038


2009 © Research Institute for Mathematical Sciences

Publications of the Research Institute for Mathematical Sciences

Publications of the Research Institute for Mathematical Sciences