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Anticipating integrals for a class of martingales

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Publication:1385008
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DOI10.2307/3318533zbMath0897.60058OpenAlexW2089724057MaRDI QIDQ1385008

Jin Ma, Jaime San Martín, Philip E. Protter

Publication date: 25 May 1998

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bj/1175865491


zbMATH Keywords

integration by parts formulaMalliavin derivativechaos decompositionnormal martingaleanticipating stochastic differential equationanticipating stochastic integralstructure equation


Mathematics Subject Classification ID

Martingales with continuous parameter (60G44) Stochastic integrals (60H05)


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Unnamed Item ⋮ Martingale Representation of Functionals of Lévy Processes ⋮ Anticipating integrals and martingales on the Poisson space ⋮ Stochastic control problems for systems driven by normal martingales ⋮ Malliavin calculus for subordinated Lévy process ⋮ Product of two multiple stochastic integrals with respect to a normal martingale ⋮ An anticipating calculus for square integrable pure jump Levy processes ⋮ On logarithmic Sobolev inequalities for normal martingales ⋮ BSDEs driven by Lévy process with enlarged filtration and applications in finance ⋮ The calculus of variations for processes with independent increments



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