Fundamental Solutions of Kohn Sub-Laplacians on Anisotropic Heisenberg Groups and H-type Groups
2011 ◽
Vol 54
(1)
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pp. 126-140
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Keyword(s):
AbstractWe prove that the fundamental solutions of Kohn sub-LaplaciansΔ+iα∂t on the anisotropic Heisenberg groups are tempered distributions and have meromorphic continuation in α with simple poles. We compute the residues and find the partial fundamental solutions at the poles. We also find formulas for the fundamental solutions for some matrix-valued Kohn type sub-Laplacians on H-type groups.
1981 ◽
Vol 44
(3)
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pp. 328-347
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2011 ◽
Vol 24
(3)
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pp. 314-319
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2021 ◽
Vol 112
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pp. 106759
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2008 ◽
Vol 132
(6)
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pp. 486-499
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