The Malliavin calculus for pure jump processes and applications to local time (Q1077813)

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scientific article; zbMATH DE number 3958356
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The Malliavin calculus for pure jump processes and applications to local time
scientific article; zbMATH DE number 3958356

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    The Malliavin calculus for pure jump processes and applications to local time (English)
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    1986
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    The basis of Malliavin calculus is introduced for various processes including jump processes. Bismut approach is exploited. The existence of \(L^ p\)- and \(C^{\alpha}\)-densities for pure jump Markov processes is established. The existence of jointly continuous local times for purely discontinuous martingales is obtained.
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    Malliavin calculus
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    jointly continuous local times
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    discontinuous martingales
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