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picture1_Derivative Formulas 168768 | Bismut


picture2_Derivative Formulas 168768 | Bismut picture3_Derivative Formulas 168768 | Bismut

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File: Derivative Formulas 168768 | Bismut
Journal of Functional Analysis 183, 42108 (2001) doi:10.1006jfan.2001.3746, available online at http:www.idealibrary.com on Heat Equation Derivative Formulas for Vector Bundles Bruce K. Driver1 Department of ...

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...Journal of functional analysis doi jfan available online at http www idealibrary com on heat equation derivative formulas for vector bundles bruce k driver department mathematics university california san diego la jolla e mail math ucsd edu and anton thalmaier institut fu r angewandte mathematik universita t bonn wegelerstr germany wiener iam uni de communicated by l gross received april accepted weuse martingale methods to give bismut type differen tials co differentials semigroups forms more generally sec tions the are mainly in terms weitzenbo ck curvature most cases derivatives not involved particular our results improve b s formula j pures appl logarithmic kernel measure a riemannian manifold also include d elworthy x m li c acad sci paris se i academic press key words malliavin calculus integration parts dirac operator rham hodge laplacian decomposition contents introduction general stochastic geometric notation local martingales fundamental applications compact non higher append...
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