The contraction of \(S^{2p-1}\) to \(H^{p-1}\)

DOI10.1007/s006050050061zbMath0938.22007OpenAlexW1573508307MaRDI QIDQ1817767

Anthony H. Dooley, Sanjiv Kumar Gupta

Publication date: 14 June 2000

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s006050050061

zbMATH Keywords

\(M\) class-1 representation\(SU(p,1)\)approximation of matrix coefficientsde Leeuw-type theorem

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Analysis on other specific Lie groups (43A80)

Related Items (9)

Joint functional calculi and a sharp multiplier theorem for the Kohn Laplacian on spheres ⋮ Small-time asymptotics for subelliptic Hermite functions on \(SU(2)\) and the CR sphere ⋮ Contractions of \(\mathrm{SU}(1,n)\) and \(\mathrm{SU}(n+1)\) via Berezin quantization ⋮ Contraction of compact semisimple Lie groups via Berezin quantization ⋮ Transferring spherical multipliers on compact symmetric spaces ⋮ Berezin symbols and spectral measures of representation operators ⋮ Two-parameter estimates for joint spectral projections on complex spheres ⋮ Spectral multipliers for the Kohn sublaplacian on the sphere in $\mathbb{C}^{n}$ ⋮ The subelliptic heat kernel on \(\mathbf{SU}(2)\): representations, asymptotics and gradient bounds

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