A family of singular oscillatory integral operators and failure of weak amenability

DOI10.1215/S0012-7094-04-12732-0zbMath1072.43004arXivmath/0210136MaRDI QIDQ556467

Brian Dorofaeff, Andreas Seeger, James Wright, Michael G. Cowling

Publication date: 21 June 2005

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0210136

zbMATH Keywords

semidirect productFourier algebraweak amenability\(L^2\)-boundsconnected Lie groupsingular oscillatory integral operators

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Unitary representations of locally compact groups (22D10) Analysis on other specific Lie groups (43A80) Analysis on specific locally compact and other abelian groups (43A70) Structure of group algebras of LCA groups (22B10)

Related Items (7)

Fourier multipliers in \(\mathrm{SL}_n(\mathbb{R})\) ⋮ Weak amenability and simply connected Lie groups ⋮ Simple Lie groups without the approximation property ⋮ The weak Haagerup property ⋮ Simple Lie groups without the Approximation Property II ⋮ Weak amenability of Lie groups made discrete ⋮ Poincaré profiles of Lie groups and a coarse geometric dichotomy

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