A Paley-Wiener theorem for the spherical Laplace transform on causal symmetric spaces of rank 1

Authors
Andersen, NB Olafsson, G
Citation
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
Citations number
9
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
129
Issue
1
Year of publication
2000
Pages
173 - 179
Database
ISI
SICI code
0002-9939(2000)129:1<173:APTFTS>2.0.ZU;2-C
Abstract
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.