Geodesic
Tempered Representations and the Theta Correspondence
Canadian journal of mathematics, Tome 50 (1998) no. 5, pp. 1105-1118

Voir la notice de l'article provenant de la source Cambridge University Press

Let $V$ be an even dimensional nondegenerate symmetric bilinear space over a nonarchimedean local field $F$ of characteristic zero, and let $n$ be a nonnegative integer. Suppose that $\sigma \,\in \,\text{Irr(O(}V\text{))}$ and $\pi \,\in \,\text{Irr}\,\text{(Sp(}n,\,F\text{))}$ correspond under the theta correspondence. Assuming that $\sigma $ is tempered, we investigate the problem of determining the Langlands quotient data for $\text{ }\!\!\pi\!\!\text{ }$ .
DOI : 10.4153/CJM-1998-053-6
Mots-clés : 11F27, 22E50 
Roberts, Brooks. Tempered Representations and the Theta Correspondence. Canadian journal of mathematics, Tome 50 (1998) no. 5, pp. 1105-1118. doi: 10.4153/CJM-1998-053-6
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