The Itô Integral with Respect to an Infinite Dimensional Lévy Process: a Series Approach

نویسنده

  • STEFAN TAPPE
چکیده

We present an alternative construction of the infinite dimensional Itô integral with respect to a Hilbert space valued Lévy process. This approach is based on the well-known theory of real-valued stochastic integration, and the respective Itô integral is given by a series of Itô integrals with respect to standard Lévy processes. We also prove that this stochastic integral coincides with the Itô integral that has been developed in the literature.

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تاریخ انتشار 2013