Computation of Weighted Bergman Inner Products on Bounded Symmetric Domains and Parseval-Plancherel-Type Formulas under Subgroups

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2023
• ISSN: 1815-0659
• 1. Verfasser: Nakahama, Ryosuke
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2023
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211982
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Computation of Weighted Bergman Inner Products on Bounded Symmetric Domains and Parseval-Plancherel-Type Formulas under Subgroups. Ryosuke Nakahama. SIGMA 19 (2023), 049, 74 pages

Let (, ₁) = (, (σ)₀) be a symmetric pair of holomorphic type, and we consider a pair of Hermitian symmetric spaces D₁ = ₁/₁ ⊂ D = /, realized as bounded symmetric domains in complex vector spaces p⁺₁ := (p⁺)σ ⊂ p⁺ respectively. Then the universal covering group ˜ of acts unitarily on the weighted B...