Abstract
In this note we construct an integral boundary condition for the Kohn Laplacian in a given domain on the Heisenberg group extending to the setting of the Heisenberg group M. Kac’s "principle of not feeling the boundary". This also amounts to finding the trace on smooth surfaces of the Newton potential associated to the Kohn Laplacian. We also obtain similar results for higher powers of the Kohn Laplacian.
Original language | English |
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Pages (from-to) | 709-721 |
Number of pages | 13 |
Journal | Proceedings of the American Mathematical Society |
Volume | 144 |
Issue number | 2 |
DOIs | |
Publication status | Published - Feb 1 2016 |
Externally published | Yes |
Keywords
- Heisenberg group
- Integral boundary conditions
- Kohn Laplacian
- Newton potential
- Sub-Laplacian
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics