Journal of Lie Theory 24 (2014), No. 1, 041--075
Copyright Heldermann Verlag 2014
Wave Packets in the Schwartz Space of a Reductive p-adic Symmetric Space
Patrick Delorme
Aix-Marseille-Université, CNRS-IML / FRE 3529, 163 Avenue de Luminy, 13288 Marseille Cedex 09, France
delorme@iml.univ-mrs.fr
Pascale Harinck
Ecole Polytechnique, CNRS-CMLS / UMR 7640, Route de Saclay, 91128 Palaiseau, France
harinck@math.polytechnique.fr
We form wave packets in the Schwartz space of a reductive p-adic symmetric space for certain families of tempered functions. We show how to construct such families from Eisenstein integrals.
Keywords: p-adic reductive groups, symmetric spaces, Schwartz packets, Eisenstein integrals.
MSC: 22E50
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