Tai Melcher
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"Hypoelliptic Heat Kernel Inequalities on Lie Groups" by Tai Melcher.

(UCSD Thesis, June 2004)

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The manuscript is available as a PDF file.

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The following paper constitutes part of Tai Melcher's Thesis. 

bullet"Hypoelliptic heat kernel inequalities on the Heisenberg group"  by Bruce Driver and Tai Melcher. Appeared in Journal of Functional Analysis.