We construct surface measures associated to Gaussian measures in separable Banach spaces, and we prove several properties including an integration by parts formula.
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Giuseppe Da Prato, Alessandra Lunardi, Luciano Tubaro, Surface measures in infinite dimension. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 25 (2014), no. 3, pp. 309–330DOI 10.4171/RLM/681