Nb. Andersen et G. Olafsson, A Paley-Wiener theorem for the spherical Laplace transform on causal symmetric spaces of rank 1, P AM MATH S, 129(1), 2000, pp. 173-179
We formulate and prove a topological Paley-Wiener theorem for the normalize
d spherical Laplace transform defined on the rank 1 causal symmetric spaces
M = SOo(1, n)/SOo(1, n - 1), for n greater than or equal to 2.