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Smoothness of Heat Kernel Measures on Infinite-Dimensional Heisenberg-Like Groups

Probability 2013-06-28 v2

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.

Keywords

Cite

@article{arxiv.1209.5112,
  title  = {Smoothness of Heat Kernel Measures on Infinite-Dimensional Heisenberg-Like Groups},
  author = {Daniel Dobbs and Tai Melcher},
  journal= {arXiv preprint arXiv:1209.5112},
  year   = {2013}
}

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15 pages