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.
Patrick Delorme 
1
;
Pascale Harinck 
2
1
Aix-Marseille-Université, CNRS-IML / FRE 3529, 163 Avenue de Luminy, 13288 Marseille Cedex 09, France
2
Ecole Polytechnique, CNRS-CMLS / UMR 7640, Route de Saclay, 91128 Palaiseau, France
Patrick Delorme; Pascale Harinck. Wave Packets in the Schwartz Space of a Reductive p-adic Symmetric Space. Journal of Lie Theory, Tome 24 (2014) no. 1, pp. 41-75. http://geodesic.mathdoc.fr/item/JOLT_2014_24_1_a2/
@article{JOLT_2014_24_1_a2,
author = {Patrick Delorme and Pascale Harinck},
title = {Wave {Packets} in the {Schwartz} {Space} of a {Reductive} <italic>p</italic>-adic {Symmetric} {Space}},
journal = {Journal of Lie Theory},
pages = {41--75},
year = {2014},
volume = {24},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JOLT_2014_24_1_a2/}
}
TY - JOUR
AU - Patrick Delorme
AU - Pascale Harinck
TI - Wave Packets in the Schwartz Space of a Reductive p-adic Symmetric Space
JO - Journal of Lie Theory
PY - 2014
SP - 41
EP - 75
VL - 24
IS - 1
UR - http://geodesic.mathdoc.fr/item/JOLT_2014_24_1_a2/
ID - JOLT_2014_24_1_a2
ER -
%0 Journal Article
%A Patrick Delorme
%A Pascale Harinck
%T Wave Packets in the Schwartz Space of a Reductive p-adic Symmetric Space
%J Journal of Lie Theory
%D 2014
%P 41-75
%V 24
%N 1
%U http://geodesic.mathdoc.fr/item/JOLT_2014_24_1_a2/
%F JOLT_2014_24_1_a2