A Paley-Wiener theorem for the spherical Laplace transform on causal symmetric spaces of rank 1期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	Nils Byrial Andersen Gestur Ó lafsson

Institution:	Institut de Mathématiques, Analyse Algèbrique, Université Pierre et Marie Curie, Case 82, Tour 46-0, 3$^{e}$ étage, 4, place Jussieu, F-75252 Paris Cedex 05, France ; Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803

Abstract:	We formulate and prove a topological Paley-Wiener theorem for the normalized spherical Laplace transform defined on the rank 1 causal symmetric spaces $\mathcal{M} = SO _{o} (1,n)/SO_{o}(1,n-1)$ , for $n\ge 2$ .

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