Abstract
We introduce the quaternion Heisenberg group and show that it is a special case of the model step two nilpotent Lie group studied by Beals, Gaveau and Greiner. Using the heat kernel, we give formulas for Green functions of sub-Laplacians on the quaternion Heisenberg group.
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Communicated by Carlos Berenstein.
This research has been supported by the Natural Sciences and Engineering Research Council of Canada.
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Tie, J., Wong, M.W. The Heat Kernel and Green Functions of Sub-Laplacians on the Quaternion Heisenberg Group. J Geom Anal 19, 191–210 (2009). https://doi.org/10.1007/s12220-008-9038-7
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DOI: https://doi.org/10.1007/s12220-008-9038-7