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arxiv: 1209.5112 · v2 · pith:OK3S5MCJnew · submitted 2012-09-23 · 🧮 math.PR

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

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keywords associatedgroupsheatheisenberg-likeinfinite-dimensionalkernelmeasuremeasures
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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.

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