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arXiv · 2405.17699

Strongly tempered hyperspherical Hamiltonian spaces

Zhengyu Mao·Chen Wan·Lei Zhang
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Abstract

In this paper, we give a complete list of strongly tempered hyperspherical Hamiltonian spaces. We show that the period integrals attached to the list contains many previously studied Rankin-Selberg integrals and period integrals, thus give a new conceptual understanding of these integrals. The list also proposes many new interesting period integrals to study.

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Zhengyu Mao, Chen Wan, Lei Zhang. 2024-05-27. Strongly tempered hyperspherical Hamiltonian spaces. https://doi.org/10.1017/fms.2026.10190

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