Abstract
Explicit Poisson kernels are found for the subelliptic Dirichlet problem with boundary data satisfying certain symmetry conditions on balls and halfspaces in some Heisenberg type groups.
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Dedicated to Professor Sheng GONG on the occasion of his 75th birthday
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Korányi, A. Poisson formulas for circular functions on some groups of type H . SCI CHINA SER A 49, 1683–1695 (2006). https://doi.org/10.1007/s11425-006-2065-6
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DOI: https://doi.org/10.1007/s11425-006-2065-6
Keywords
- subelliptic potential theory
- potential theory on H-type groups with J 2 condition
- subelliptic Dirichlet problem
- Poisson kernels for H-type groups with J 2 condition