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An $L^2$ theory for differential forms on path spaces. I
| Publication available at: | http://www.sciencedirect.com/science/article/pii/S0022123607003643?via=ihub |
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| Title: | An $L^2$ theory for differential forms on path spaces. I |
| Authors: | Elworthy, KD Li, X-M |
| Item Type: | Journal Article |
| Issue Date: | 1-Jan-2008 |
| Date of Acceptance: | 1-Oct-2007 |
| URI: | http://hdl.handle.net/10044/1/54123 |
| DOI: | https://dx.doi.org/10.1016/j.jfa.2007.09.016 |
| ISSN: | 0022-1236 |
| Start Page: | 196 |
| End Page: | 245 |
| Journal / Book Title: | Journal of Functional Analysis |
| Volume: | 254 |
| Copyright Statement: | © 2007 Elsevier Inc. All rights reserved. This article is under Elsevier's Open Archive policy. |
| Keywords: | Science & Technology Physical Sciences Mathematics MATHEMATICS path space L-2 cohomology Hodge decomposition Malliavin calculus Banach manifolds Bismut tangent spaces Markovian connection it(o)over-cap map infinite dimensional curvature exterior products differential forms COMPACT RIEMANNIAN MANIFOLD HODGE-KODAIRA DECOMPOSITION WIENER SPACE LOOP SPACE INFINITE DIMENSIONS TANGENT PROCESSES SMOOTH FUNCTIONS VECTOR-FIELDS DIVERGENCE FORMULAS math.PR 0101 Pure Mathematics General Mathematics |
| Notes: | mrclass: 58J65 (60H07) mrnumber: 2375069 mrreviewer: Maria Gordina |
| Open Access location: | http://www.sciencedirect.com/science/article/pii/S0022123607003643?via=ihub |
| Article Number: | 1 |
| Appears in Collections: | Pure Mathematics Faculty of Natural Sciences Mathematics |