Computation of Weighted Bergman Inner Products on Bounded Symmetric Domains and Parseval-Plancherel-Type Formulas under Subgroups
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...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2023 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2023
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211982 |
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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 Parseval-Plancherel-Type Formulas under Subgroups. Ryosuke Nakahama. SIGMA 19 (2023), 049, 74 pages |