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.

引用

页码：703 / 737

页数：35

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