Smoothness of Heat Kernel Measures on Infinite-Dimensional Heisenberg-Like Groups
arXiv:1209.5112 · doi:10.1016/j.jfa.2013.02.013
Abstract
We study measures associated to Brownian motions on infinite-dimensional Heisenberg-like groups. In particular, we prove that the associated path space measure and heat kernel measure satisfy a strong definition of smoothness.
15 pages