The Cayley transform and uniformly bounded representations

DOI10.1016/j.jfa.2003.12.009zbMath1054.22006OpenAlexW2086558502MaRDI QIDQ1883591

Michael G. Cowling, Bianca Di Blasio, Francesca Astengo

Publication date: 13 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2003.12.009

zbMATH Keywords

Cayley transformsimple Lie group of real rank oneuniformly bounded representations

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) General properties and structure of other Lie groups (22E20)

Related Items (16)

Heisenberg-type groups and intertwining operators ⋮ Geodesic inversion and Sobolev spaces on Heisenberg type groups ⋮ The sharp lower bound of the first eigenvalue of the sub-Laplacian on a quaternionic contact manifold in dimension seven ⋮ Perturbation of Yamabe equation on Iwasawa \(N\) groups in presence of symmetry ⋮ \(L^p\) joint eigenfunction bounds on quaternionic spheres ⋮ How to prove the Baum-Connes conjecture for the groups \(S p(n, 1)\)? ⋮ Sharp Hardy-Littlewood-Sobolev inequalities on quaternionic Heisenberg groups ⋮ Moser-Trudinger and Beckner-Onofri's inequalities on the CR sphere ⋮ The sharp lower bound of the first eigenvalue of the sub-Laplacian on a quaternionic contact manifold ⋮ The Baum–Connes conjecture: an extended survey ⋮ The Lichnerowicz and Obata first eigenvalue theorems and the Obata uniqueness result in the Yamabe problem on CR and quaternionic contact manifolds ⋮ Improved Sobolev inequalities on groups of Iwasawa type in presence of symmetry ⋮ Sobolev spaces and the Cayley transform ⋮ Quaternionic spherical harmonics and a sharp multiplier theorem on quaternionic spheres ⋮ Unnamed Item ⋮ The Obata first eigenvalue theorem on a seven-dimensional quaternionic contact manifold

Cites Work

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