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Fundamental Solutions of Kohn Sub-Laplacians on Anisotropic Heisenberg Groups and H-type Groups

  • Yongyang Jin (a1) and Genkai Zhang (a2)

Abstract

We prove that the fundamental solutions of Kohn sub-Laplacians $\Delta +i\alpha {{\partial }_{t}}$ 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 $\text{H}$ -type groups.

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References

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Fundamental Solutions of Kohn Sub-Laplacians on Anisotropic Heisenberg Groups and H-type Groups

  • Yongyang Jin (a1) and Genkai Zhang (a2)

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