# An application of a functional inequality to quasi-invariance in infinite dimensions

@article{Gordina2017AnAO, title={An application of a functional inequality to quasi-invariance in infinite dimensions}, author={Maria Gordina}, journal={arXiv: Probability}, year={2017}, pages={251-266} }

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 cannot 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…

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