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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

Pascale Harinck
Ecole Polytechnique, CNRS-CMLS / UMR 7640, Route de Saclay, 91128 Palaiseau, France

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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