11 citations · 44 across the 32 of their papers we have counts for
4 papers · 1 filter
Sampling in Spaces of Bandlimited Functions on Commutative Spaces
Jens Gerlach Christensen, Gestur Olafsson
A connected homogeneous space X=G/K is called commutative if G is a connected Lie group, is a compact subgroup and the B*-algebra L^1(X)^K of K-invariant integrable function on…
The and Transforms as Intertwining Operators between generalized principal series Representations of SL (n+1,K)
Gestur Olafsson, Angela Pasquale
In this article we connect topics from convex and integral geometry with well known topics in representation theory of semisimple Lie groups by showing that the $Cos^\lamda$ and $S…
The Paley-Wiener Theorem and Limits of Symmetric Spaces
Gestur Olafsson, Joseph A. Wolf
We extend the Paley--Wiener theorem for riemannian symmetric spaces to an important class of infinite dimensional symmetric spaces. For this we define a notion of propagation of sy…
The Segal-Bargmann Transform on Compact Symmetric Spaces and their Direct Limits
Gestur Olafsson, Keng Wiboonton
We study the Segal-Bargmann transform, or the heat transform, for a compact symmetric space . We prove that is a unitary isomorphism $H_t : L^2(M) \to \cH_t (M_\…