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- W4300341040 abstract "One way to interpret smoothness of a measure in infinite dimensions is quasi-invariance of the measure under a class of transformations. Usually such settings lack a reference measure such as the Lebesgue or Haar measure, and therefore we can not use smoothness of a density with respect to such a measure. We describe how a functional inequality can be used to prove quasi-invariance results in several settings. In particular, this gives a different proof of the classical Cameron-Martin (Girsanov) theorem for an abstract Wiener space. In addition, we revisit several more geometric examples, even though the main abstract result concerns quasi-invariance of a measure under a group action on a measure space." @default.
- W4300341040 created "2022-10-03" @default.
- W4300341040 creator A5042574249 @default.
- W4300341040 date "2016-02-03" @default.
- W4300341040 modified "2023-09-25" @default.
- W4300341040 title "An application of a functional inequality to quasi-invariance in infinite dimensions" @default.
- W4300341040 doi "https://doi.org/10.48550/arxiv.1602.01293" @default.
- W4300341040 hasPublicationYear "2016" @default.
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