Completeness of coherent state subsystems for nilpotent Lie groups
Let $G$ be a nilpotent Lie group and let $\pi $ be a coherent state representation of $G$. The interplay between the cyclicity of the restriction $\pi |_{\Gamma }$ to a lattice $\Gamma \le G$ and the completeness of subsystems of coherent states based on a homogeneous $G$-space is considered. In par...
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Format: | Article |
Language: | English |
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Académie des sciences
2022-06-01
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Series: | Comptes Rendus. Mathématique |
Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.342/ |