On the Poisson transform on a homogenous vector bundle over the quaternionic hyperbolic space
Let $K\times _M V$ be the homogenous vector bundle over $K/M=Sp(n)\times Sp(1)/Sp(n-1)\times Sp(1)$ associated to an irreducible representation $(\delta _{\nu }, V)$ of Sp(1). We give an image characterization of the Poisson transform $\mathcal{P}_{\lambda ,\nu }$ of $L^{2}$-section of $K\times _M V...
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| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2024-05-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.550/ |
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