paper

Strongly tempered hyperspherical Hamiltonian spaces

arXiv:2405.17699 · doi:10.1017/fms.2026.10190

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.

46 pages. Any comments are welcome

Strongly tempered hyperspherical Hamiltonian spaces · wovepaper