27 citations · 201 across the 34 of their papers we have counts for
9 papers · 1 filter
Boundary Values of Eigenfunctions on Riemannian Symmetric Spaces
Sönke Hansen, Joachim Hilgert, Aprameyan Parthasarathy
We give a new and self-contained proof of a generic version of the (former) Helgason conjecture. It says that for generic spectral parameters the Poisson transform is a topological…
Resonances for the Laplacian on products of two rank one Riemannian symmetric spaces
J. Hilgert, A. Pasquale, T. Przebinda
Let be a direct product of two rank-one Riemannian symmetric spaces of the noncompact type. We show that when at least one of the two spaces is isomorphic to a r…
Resonances for the Laplacian on Riemannian symmetric spaces: the case of SL(3,)/SO(3)
J. Hilgert, A. Pasquale, T. Przebinda
We show that the resolvent of the Laplacian on SL(3,)/SO(3) can be lifted to a meromorphic function on a Riemann surface which is a branched covering of . T…
The Radon transform and its dual for limits of symmetric spaces
Joachim Hilgert, Gestur Olafsson
The Radon transform and its dual are central objects in geometric analysis on Riemannian symmetric spaces of the noncompact type. In this article we study algebraic versions of tho…
Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups
Joachim Hilgert, Toshiyuki Kobayashi, Jan Möllers +1
For any Hermitian Lie group G of tube type we construct a Fock model of its minimal representation. The Fock space is defined on the minimal nilpotent K_C-orbit X in p_C and the L^…
Minimal representations via Bessel operators
Joachim Hilgert, Toshiyuki Kobayashi, Jan Möllers
We construct an L^2-model of "very small" irreducible unitary representations of simple Lie groups G which, up to finite covering, occur as conformal groups Co(V) of simple Jordan…