Girsanov theorem for anticipative shifts on Poisson space (Q1908539)

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scientific article; zbMATH DE number 849089
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Girsanov theorem for anticipative shifts on Poisson space
scientific article; zbMATH DE number 849089

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    Girsanov theorem for anticipative shifts on Poisson space (English)
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    27 May 1996
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    We study the absolute continuity of the image measure of the canonical Poisson probability measure under nonlinear shifts. The Radon-Nikodym density function is expressed using a Carleman-Fredholm determinant and a divergence operator. Results are obtained for non-necessarily invertible transformations, under almost-sure differentiability hypothesis.
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    absolute continuity of the image measure of the canonical Poisson probability measure under nonlinear shifts
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    Radon-Nikodym density
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