IBP for Heat Kernels
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Integration by Parts for Heat Kernel Measures Revisited

(UCSD Preprint, December 30, 1996 )

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Stochastic calculus proofs of the integration by parts formula for cylinder functions of parallel translation on the Wiener space of a compact Riemannian manifold $(M)$ are given. These formulas are used to prove a new probabilistic formula for the logarithmic derivative of the heat kernel on $M.$ This new formula is well suited for generalizations to infinite dimensional manifolds.

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The manuscript is available as a DVI file (152K) or a Post Script file (333K).

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December 31, 1996

08/15/2016 02:53 PM