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Search: MSC category 11F27 ( Theta series; Weil representation; theta correspondences )

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1. CJM 2012 (vol 64 pp. 497)

Li, Wen-Wei

2. CJM 2000 (vol 52 pp. 737)

Gan, Wee Teck
 An Automorphic Theta Module for Quaternionic Exceptional Groups We construct an automorphic realization of the global minimal representation of quaternionic exceptional groups, using the theory of Eisenstein series, and use this for the study of theta correspondences. Categories:11F27, 11F70

3. CJM 1999 (vol 51 pp. 164)

Tan, Victor
 Poles of Siegel Eisenstein Series on $U(n,n)$ Let $U(n,n)$ be the rank $n$ quasi-split unitary group over a number field. We show that the normalized Siegel Eisenstein series of $U(n,n)$ has at most simple poles at the integers or half integers in certain strip of the complex plane. Categories:11F70, 11F27, 22E50

4. CJM 1998 (vol 50 pp. 1105)

Roberts, Brooks
 Tempered representations and the theta correspondence 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 $\sigma \in \Irr \bigl(\OO (V)\bigr)$ and $\pi \in \Irr \bigl(\Sp (n,F)\bigr)$ correspond under the theta correspondence. Assuming that $\sigma$ is tempered, we investigate the problem of determining the Langlands quotient data for $\pi$. Categories:11F27, 22E50
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