Surface measures and integration by parts formula on levels sets induced by functionals of the Brownian motion in ${\mathbb{R}}^n$

Stefano Bonaccorsi, Luciano Tubaro, Margherita Zanella

On the infinite dimensional space $E$ of continuous paths from $[0,1]$ to ${\mathbb{R}}^n$, $n\ge 3$, endowed with the Wiener measure $\mu$, we construct a surface measure defined on l…