3 citations · 5 across the 4 of their papers we have counts for
4 papers · 1 filter
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…
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…