@inbook{9381f8f1511c4a4695d17e23cef0f63f,
title = "Gradient and Divergence",
abstract = "If we put a measure on a Banach space, functions defined on it become random variables and are thus defined up to a negligeable set. This ruins the possibility to use Fr{\'e}chet calculus on such a space. The Cameron-Martin theorem says that we must restrict the directions in which we can derive to a dense but negligeable set. Hence the importance of the Gross-Sobolev-Malliavin gradient we define now.",
author = "Laurent Decreusefond",
note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.",
year = "2022",
month = jan,
day = "1",
doi = "10.1007/978-3-031-01311-9\_2",
language = "English",
series = "Bocconi and Springer Series",
publisher = "Springer-Verlag Italia s.r.l.",
pages = "25--59",
booktitle = "Bocconi and Springer Series",
}