JournalsprimsVol. 45, No. 3pp. 745–785

Unitary Processes with Independent Increments and Representations of Hilbert Tensor Algebras

  • Lingaraj Sahu

    Indian Statistical Institute, Bangalore, India

  • Michael Schürmann

    Ernst-Moritz-Arndt-Universität Greifswald, Germany

  • Kalyan B. Sinha

    New Delhi, India
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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.

Cite this article

Lingaraj Sahu, Michael Schürmann, Kalyan B. Sinha, Unitary Processes with Independent Increments and Representations of Hilbert Tensor Algebras. Publ. Res. Inst. Math. Sci. 45 (2009), no. 3, pp. 745–785

DOI 10.2977/PRIMS/1249478964