Spectral multipliers for the Kohn sublaplacian on the sphere in $\mathbb{C}^{n}$

DOI10.1090/S0002-9947-2010-04920-7zbMath1213.42025OpenAlexW1999199917MaRDI QIDQ3082370

Oldrich Klima, Adam S. Sikora, Michael G. Cowling

Publication date: 10 March 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2010-04920-7

zbMATH Keywords

spectral multipliersKohn sublaplacian

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Harmonic analysis on homogeneous spaces (43A85) Analysis on CR manifolds (32V20)

Related Items

The angular Laplacian on symmetric Damek-Ricci spaces, A \(p\)-specific spectral multiplier theorem with sharp regularity bound for Grushin operators, Hardy–Littlewood–Paley inequalities and Fourier multipliers on SU(2), Spectral multiplier theorems of Euclidean type on new classes of two-step stratified groups, Joint functional calculi and a sharp multiplier theorem for the Kohn Laplacian on spheres, The subelliptic heat kernel on the CR sphere, From refined estimates for spherical harmonics to a sharp multiplier theorem on the Grushin sphere, Small-time asymptotics for subelliptic Hermite functions on \(SU(2)\) and the CR sphere, Spectral multipliers and wave equation for sub-Laplacians: lower regularity bounds of Euclidean type, Sharp spectral multipliers for a new class of Grushin type operators, The first positive eigenvalue of the sub-Laplacian on CR spheres, Spectral multipliers for the Kohn Laplacian on forms on the sphere in \(\mathbb {C}^n\), Quaternionic spherical harmonics and a sharp multiplier theorem on quaternionic spheres, Strichartz estimates for the Schrödinger equation for the sublaplacian on complex spheres, Analysis of the Hodge Laplacian on the Heisenberg group, Numerical computation of triangular complex spherical designs with small mesh ratio, Spectral multipliers on Heisenberg-Reiter and related groups

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