Strongly tempered hyperspherical Hamiltonian spaces

Source 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.