Integration by parts for heat kernel measures revisited

被引：32
作者：
Driver, BK
机构：
[1] Department of Mathematics, 0112, University of California, San Diego, San Diego
来源：
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 1997年 / 76卷 / 08期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1016/S0021-7824(97)89966-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：703 / 737
页数：35
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