Wave Packets in the Schwartz Space of a Reductive p-adic Symmetric Space

P. Delorme; P. Harinck

doi:10.5802/jolt.775

P. Delorme; P. Harinck

Journal of Lie Theory, Volume 24 (2014) no. 1, pp. 41-75

Abstract

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.

arXiv Zbl

DOI: 10.5802/jolt.775

Classification: 22E50
Keywords: p-adic reductive groups, symmetric spaces, Schwartz packets, Eisenstein integrals

@article{JOLT_2014_24_1_a2,
     author = {P. Delorme and P. Harinck},
     title = {Wave {Packets} in the {Schwartz} {Space} of a {Reductive} p-adic {Symmetric} {Space}},
     journal = {Journal of Lie Theory},
     pages = {41--75},
     year = {2014},
     volume = {24},
     number = {1},
     doi = {10.5802/jolt.775},
     zbl = {1297.22016},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.775/}
}

TY  - JOUR
AU  - P. Delorme
AU  - P. 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  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.775/
DO  - 10.5802/jolt.775
ID  - JOLT_2014_24_1_a2
ER  -

%0 Journal Article
%A P. Delorme
%A P. 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 https://jolt.centre-mersenne.org/articles/10.5802/jolt.775/
%R 10.5802/jolt.775
%F JOLT_2014_24_1_a2

P. Delorme; P. Harinck. Wave Packets in the Schwartz Space of a Reductive p-adic Symmetric Space. Journal of Lie Theory, Volume 24 (2014) no. 1, pp. 41-75. doi: 10.5802/jolt.775

Cited by Sources: