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A stochastic integral of operator-valued functions

Volodymyr Tesko

Methods Funct. Anal. Topology 14 (2008), no. 2, 132-141.

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Abstract

In this note we define and study a Hilbert space-valued stochastic integral of operator-valued functions with respect to Hilbert space-valued measures. We show that this integral generalizes the classical Ito stochastic integral of adapted processes with respect to normal martingales and the Ito integral in a Fock space.



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