Geodesic
Integral Representation for U 3 × GL 2
Canadian journal of mathematics, Tome 61 (2009) no. 6, pp. 1383-1406

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DOI

Gelbart and Piatetskii-Shapiro constructed various integral representations of Rankin–Selberg type for groups $G\,\times \,G{{L}_{n}}$ , where $G$ is of split rank $n$ . Here we show that their method can equally well be applied to the product ${{U}_{3}}\,\times \,G{{L}_{2}}$ , where ${{U}_{3}}$ denotes the quasisplit unitary group in three variables. As an application, we describe which cuspidal automorphic representations of ${{U}_{3}}$ occur in the Siegel induced residual spectrum of the quasisplit ${{U}_{4}}$ .
DOI : 10.4153/CJM-2009-066-9
Mots-clés : 11F70, 11F67 
Wambach, Eric. Integral Representation for U 3 × GL 2. Canadian journal of mathematics, Tome 61 (2009) no. 6, pp. 1383-1406. doi: 10.4153/CJM-2009-066-9
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     title = {Integral {Representation} for {U} 3 {\texttimes} {GL} 2},
     journal = {Canadian journal of mathematics},
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     year = {2009},
     volume = {61},
     number = {6},
     doi = {10.4153/CJM-2009-066-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2009-066-9/}
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