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Poisson transforms, the BGG complex, and discrete series representations of SU(n+1,1)
The aim of this article is to construct specific Poisson transforms mapping differential forms on the sphere $S^{2n+1}$ endowed with its natural CR structure to forms on complex hyperbolic space. These transforms have co-closed harmonic values, descend to the BGG (Rumin) complex, and intertwine the
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