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(Research report / Forskningsrapport, 2002)
In this paper we develop a white noise framework for the study of stochastic partial differential equations driven by a d-parameter (pure jump) Lévy white noise. As an example we use this theory to solve the stochastic ...
(Research report / Forskningsrapport, 2002)
We develop a white noise theory for Poisson random measures associated with a Lévy process. The starting point of this theory is a chaos expansion with kernels of polynomial type. We use this to construct the white noise ...
(Research report / Forskningsrapport, 2002)
We discuss the extension to the multi-dimensional case of the Wick-Itô integral with respect to fractional Brownian motion, introduced by [DHP] in the 1-dimensional case. We prove a multi-dimensional Itô type isometry for ...
(Research report / Forskningsrapport, 2002)
(Research report / Forskningsrapport, 2002)
(Research report / Forskningsrapport, 2002)