On the injectivity of the Poisson transform

DOI10.1016/0022-1236(82)90024-6zbMath0504.22009OpenAlexW2072153776MaRDI QIDQ1835764

Adam Korányi

Publication date: 1982

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(82)90024-6

zbMATH Keywords

Poisson transformCartan motion group

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Analysis on other specific Lie groups (43A80)

Related Items

Mean value property and harmonicity on Carnot-Carathéodory groups ⋮ Théorème de Fatou pour les fonctions propres des opérateurs différentiels invariants par un groupe de déplacements de Cartan

Cites Work

• Le comportement à l'infini des fonctions de Bessel généralisées. I. (The behaviour at infinity of generalized Bessel functions.)
• A duality for symmetric spaces with applications to group representations. III: Tangent space analysis
• Sur les représentations des groupes de deplacements de Cartan
• Morse Theory. (AM-51)
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