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The heat kernel and
the Riesz transforms on the quaternionic Heisenberg
groups
Fuliu Zhu |
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Vol. 209 (2003), No. 1, 175–199
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Abstract |
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In this paper we use the method of stochastic integral due to Gaveau to construct the heat kernel for the quaternionic Heisenberg groups, and then follow the line of Coulhon et al. to deduce the uniformly boundedness of the Riesz transforms on these nilponent Lie groups. |
Milestones
Received: 9 August 2000
Revised: 20 June 2002
Published: 1 March 2003
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Authors |
| Fuliu Zhu | |
| Institute of Mathematics Wuhan University Wuhan, 430072 P.R. China |
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