| Rankin-Selberg convolutions for GL(n)×GL(n) and GL(n)×GL(n-1) for principal series representations |
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| 作者姓名： | Jian-Shu Li Dongwen Liu Feng Su Binyong Sun |
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| 作者单位： | 1. Institute for Advanced Study in Mathematics, Zhejiang University;2. School of Mathematical Sciences, Zhejiang University;3. Department of Pure Mathematics, Xi'an Jiaotong-Liverpool University |
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| 基金项目： | supported by the Natural Science Foundation of Zhejiang Province(Grant No. LZ22A010006)；;National Natural Science Foundation of China (Grant No. 12171421)；;supported by National Natural Science Foundation of China (Grant No. 11901466)；;the Qinglan Project of Jiangsu Province；;supported by the National Key Research and Development Program of China (Grant No. 2020YFA0712600)； |
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| 摘 要： | Let k be a local field.Let Iνand Iν′be smooth principal series representations of GLn(k) and GLn-1(k),respectively.The Rankin-Selberg integrals yield a continuous bilinear map Iν×Iν′→C with a certain invariance property.We study integrals over a certain open orbit that also yield a continuous bilinear map IIν×Iν′→C with the same invariance property and show that these integrals equal the Rankin-Selberg integrals up to a...
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