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math.DG2024
Poisson transforms, the BGG complex, and discrete series representations of SU(n+1,1)
Andreas Cap, Christoph Harrach, Pierre Julg
The aim of this article is to construct specific Poisson transforms mapping differential forms on the sphere endowed with its natural CR structure to forms on complex hy…
math.DG2019★ 3 cited
A Poisson transform adapted to the Rumin complex
Andreas Cap, Christoph Harrach, Pierre Julg
Let be a semisimple Lie group with finite center, a maximal compact subgroup, and a parabolic subgroup. Following ideas of P.Y.\ Gaillard, one may use…