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Analysis on Wiener Space and Applications

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arxiv 1003.1649 v2 pith:GMRCIZXF submitted 2010-03-08 math.PR math.FA

classification math.PRmath.FA
keywords analysisspacewienerapplicationsbookcalculusgivegraduate
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The aim of this book is to give a rigorous introduction for the graduate students to Analysis on Wiener space, a subject which has grown up very quickly these recent years under the new impulse of the Stochastic Calculus of Variations of Paul Malliavin.

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  1. Strong solutions of SDE's with rough coefficients

    math.PR 2025-07 reject novelty 6.0 of 10

    A Brownian SDE with merely measurable, Markovian drift is claimed to have a unique strong solution and H-C regular solution map whenever its Girsanov density has a finite L^{1+ε} moment.

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