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arXiv · 1910.09026

The Sakellaridis-Venkatesh Conjecture for $ U(2)\backslash SO_{2,3}$

Xiaolei Wan
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Abstract

This article gives the Plancherel decomposition of $L^2\left(U(2)(F)\backslash SO_{2,3}(F)\right)$, where $F$ is a local field with characteristic $0$, and the relative character identities. Finally, we obtain a factorization of the global period $P_{U(2)}$.

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Xiaolei Wan. 2019-10-20. The Sakellaridis-Venkatesh Conjecture for $ U(2)\backslash SO_{2,3}$. https://arxiv.org/abs/1910.09026

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