The Bessel Period Functional on SO(5): The Nontempered Case

2013/12/20 by Yannan Qiu, Qiu, Yannan
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1312.5793

38 pages

openalex publication_date 2013/12/20 · arxiv created 2021/05/09 · arxiv updated 2021/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For automorphic representations in the nontempered cuspidal spectrum of SO₅, we prove the refined Gan-Gross-Prasad conjecture by establishing a precise Bessel period formula, in which the square of the global Bessel period is expressed as an Euler product of regularized local Bessel period integrals of matrix coefficients.

Citations

• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• On the Saito-Kurokawa lifting

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