Infinite-dimensional degree theory and stochastic analysis

被引：0
|
作者：
A. Al-Hussein
K. D. Elworthy
机构：
[1] College of Science,Department of Mathematics
[2] Qassim University,Mathematics Institute
[3] University of Warwick,undefined
来源：
Journal of Fixed Point Theory and Applications | 2010年 / 7卷
关键词：
47H11; 58B15; 58D20; 28C20; 58J65; 58C30; Abstract Wiener space; degree; Leray–Schauder; Sard’s theorem; Fredholm map; Banach manifold; Fredholm structure; pull-back measures; diiffeomorphism group; McKean–Singer formula; Rice formula; Malliavin calculus;
D O I：
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中图分类号：
学科分类号：
摘要：
The main aim of this paper is to describe how stochastic analysis is applied to infinite-dimensional degree theory for measurable maps of Banach spaces and Fredholm maps between Banach manifolds. It is based on work of Getzler, Kusuoka, and Üstünel & Zakai.
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页码：33 / 65
页数：32
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