Computation of Weighted Bergman Inner Products on Bounded Symmetric Domains and Restriction to Subgroups
Let (𝐺, 𝐺₁) be a symmetric pair of holomorphic type, and we consider a pair of Hermitian symmetric spaces 𝐷₁ = 𝐺₁/𝛫₁ ⊂ 𝐷 = 𝐺/𝛫, realized as bounded symmetric domains in complex vector spaces p⁺₁ ⊂ p⁺ respectively. Then the universal covering group 𝐺˜ of 𝐺 acts unitarily on the weighted Bergman space...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2022 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2022
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211635 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Computation of Weighted Bergman Inner Products on Bounded Symmetric Domains and Restriction to Subgroups. Ryosuke Nakahama. SIGMA 18 (2022), 033, 105 pages |