Christoph Harrach
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View article: Poisson transforms, the BGG complex, and discrete series representations of SU(n+1,1)
Poisson transforms, the BGG complex, and discrete series representations of SU(n+1,1) Open
The aim of this article is to construct a specific Poisson transform mapping differential forms on the sphere $S^{2n+1}$ endowed with its natural CR structure to forms on complex hyperbolic space. The transforms we construct have values th…
View article: A Poisson transform adapted to the Rumin complex
A Poisson transform adapted to the Rumin complex Open
Let G be a semisimple Lie group with finite center, [Formula: see text] a maximal compact subgroup, and [Formula: see text] a parabolic subgroup. Following ideas of P. Y. Gaillard, one may use G-invariant differential forms on [Formula: se…