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An application of the regularized Siegel-Weil formula on unitary groups to a theta lifting problem |
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| Authors: | Victor Tan |
| Affiliation: | Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260 |
| Abstract: | Let  and  be the pair of unitary groups over a global field  and  an irreducible cuspidal representation of  which satisfies a certain  -function condition. By using a regularized Siegel-Weil formula, we can show that the global theta lifting of  in  is non-trivial if every local factor  of  has a local theta lifting (Howe lifting) in  . |
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