Strongly tempered hyperspherical Hamiltonian spaces

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Authors: Zhengyu Mao, Chen Wan, Lei Zhang
Cited by: 0
References: 29

Abstract

Abstract In this paper, we give a complete list of strongly tempered anomaly-free hyperspherical Hamiltonian spaces-those that are dual to symplectic vector spaces under the relative Langlands duality. We show that the period integrals attached to the list contain many previously studied Rankin-Selberg integrals and period integrals, thus giving a new conceptual understanding of these integrals. The list also proposes many new interesting period integrals to study.

Fields of Study & Subjects

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Publication details

Journal / source
Forum of Mathematics Sigma
Volume
14
Publication date
1 January 2026
Language
EN