✦ LIBER ✦
A Functional Calculus on the Heisenberg Group and the Boundary Layer Potential □−1+for the ∂-Neumann Problem
✍ Scribed by Richard Beals; Peter C. Greiner; Yaping Jiang; Luis Seco
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 283 KB
- Volume
- 155
- Category
- Article
- ISSN
- 0022-1236
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✦ Synopsis
There are two natural commuting self-adjoint operators in the enveloping algebra of the Heisenberg group: the Heisenberg sublaplacian 2 H and the central element T=&i  t. The joint spectral theory of these operators is investigated by means of the Laguerre calculus. Explicit convolution kernels are obtained for a large class of functions 8(&2 H , T ). In particular we find the kernels of the operators g +, : =-&2 H &:T+T 2 &T that occur in the Kohn solution of the -Neumann problem for the associated Siegel domain.