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• W2949857578 abstract "The domain of definition of the divergence operator δ on an abstract Wiener space (W,H,μ) is extended to include W–valued and – valued “integrands”. The main properties and characterizations of this extension are derived and it is shown that in some sense the added elements in δ’s extended domain have divergence zero. These results are then applied to the analysis of quasiinvariant flows induced by W-valued vector fields and, among other results, it turns out that these divergence-free vector fields “are responsible” for generating measure preserving flows." @default.
• W2949857578 created "2019-06-27" @default.
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• W2949857578 date "2004-12-27" @default.
• W2949857578 modified "2023-09-23" @default.
• W2949857578 title "The divergence of Banach space valued random variables on Wiener space" @default.
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• W2949857578 doi "https://doi.org/10.1007/s00440-004-0397-0" @default.
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