Heat kernel analysis on semi-infinite Lie groups |
| |
Authors: | Tai Melcher |
| |
Institution: | Department of Mathematics, University of Virginia, Charlottesville, VA 22906, United States |
| |
Abstract: | This paper studies Brownian motion and heat kernel measure on a class of infinite dimensional Lie groups. We prove a Cameron-Martin type quasi-invariance theorem for the heat kernel measure and give estimates on the Lp norms of the Radon-Nikodym derivatives. We also prove that a logarithmic Sobolev inequality holds in this setting. |
| |
Keywords: | Heat kernel measure Infinite dimensional Lie group Quasi-invariance Logarithmic Sobolev inequality |
本文献已被 ScienceDirect 等数据库收录! |