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Transferring Fourier multipliers from \(S^{2p-1}\) to \(H^{p-1}\)

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Publication:1856409
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zbMath1018.22006MaRDI QIDQ1856409

Anthony H. Dooley, Sanjiv Kumar Gupta

Publication date: 26 August 2003

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

Heisenberg groupFourier multiplierLie group contraction


Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)


Related Items (6)

Joint functional calculi and a sharp multiplier theorem for the Kohn Laplacian on spheres ⋮ 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 ⋮ Two-parameter estimates for joint spectral projections on complex spheres ⋮ Spectral multipliers for the Kohn sublaplacian on the sphere in $\mathbb{C}^{n}$






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