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arXiv · 1311.5321

Uniqueness of Rankin-Selberg periods

Fulin Chen·Binyong Sun
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Abstract

Let $k$ be a local field of characteristic zero. Rankin-Selberg's local zeta integrals produce linear functionals on generic irreducible admissible smooth representations of $GL_n(k)\times GL_r(k)$, with certain invariance properties. We show that up to scalar multiplication, these linear functionals are determined by the invariance properties.

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Fulin Chen, Binyong Sun. 2013-11-21. Uniqueness of Rankin-Selberg periods. https://arxiv.org/abs/1311.5321

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