4 papers
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 a specific Poisson transform mapping differential forms on the sphere endowed with its natural CR structure to forms on complex h…
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…
Poisson transforms adapted to BGG-complexes
Christoph Harrach
We present a new construction for Poisson transforms between vector bundle valued differential forms on homogeneous parabolic geometries and the corresponding Riemannian symmetric…
Poisson transforms for differential forms
Christoph Harrach
We give a construction of a Poisson transform mapping density valued differential forms on generalized flag manifolds to differential forms on the corresponding Riemannian symmetri…