scientific article; zbMATH DE number 7604687

zbMath1497.22007MaRDI QIDQ5043139

Dhoha Lahyani

Publication date: 21 October 2022

Full work available at URL: https://gradmath.org/2020/10/05/miyachis-theorem-for-oscillator-lie-groups/

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Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27)

Cites Work

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• Analogues of Miyachi, Cowling-Price and Morgan theorems for compact extensions of \(\mathbb R^{n1}\)
• Unitary representations of group extensions. I
• Some uncertainty principles for diamond Lie groups
• On Hardy's uncertainty principle for solvable locally compact groups
• On Hardy's uncertainty principle for connected nilpotent Lie groups
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• Opérateurs différentiels associés à certaines représentations unitaires d'un groupe de Lie résoluble exponentiel
• An analogue of Hardy's theorem for the Heisenberg group
• Dual topology of diamond groups.
• VARIANTS OF MIYACHI’S THEOREM FOR NILPOTENT LIE GROUPS
• The Lp –Lq version of Hardy's Theorem on nilpotent Lie groups
• The plancherel formula for group extensions

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