INTEGRATION ON LOOP-GROUPS .2. HEAT-EQUATION FOR THE WIENER MEASURE

被引：20

作者：

AIRAULT, H

MALLIAVIN, P

机构：

[1] Département de Mathématiques, Université P. et M. Curie, 75252 Paris Cedex 05, Tour 46

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1992年 / 104卷 / 01期

关键词：

D O I：

10.1016/0022-1236(92)90091-V

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a compact semi-simple Lie group and L(G) the loop group over G. On L(G) is defined a family (μtL)t>0 of quasi-invariant Wiener measures. We construct on L(G) a Laplace operator ΔL such that μtL are the measures generated by the process associated to ΔL modified by a Feynman-Kac density. © 1992.

引用

页码：71 / 109

页数：39

共 14 条

[1]

AIRAULT H, 1988, B SCI MATH, V112, P3

[2] DIFFERENTIAL-CALCULUS ON FINITE CODIMENSIONAL SUBMANIFOLDS OF THE WIENER SPACE - THE DIVERGENCE OPERATOR [J].