Trasferring $L^p$ eigenfunction bounds from $S^{2n+1}$ to $h^n$

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dc.creatorCasarino, Valentina
dc.creatorCiatti, Paolo
dc.date2008-11-17
dc.date.accessioned2026-07-07T10:18:51Z
dc.date.available2026-07-07T10:18:51Z
dc.descriptionBy using the notion of contraction of Lie groups, we transfer $L^p-L^2$ estimates for joint spectral projectors from the unit complex sphere $\sfera$ in ${\mathbb{C}}^{n+1}$ to the reduced Heisenberg group $h^{n}$. In particular, we deduce some estimates recently obtained by H. Koch and F. Ricci on $h^n$. As a consequence, we prove, in the spirit of Sogge's work, a discrete restriction theorem for the sub-Laplacian $L$ on $h^n$.
dc.identifierhttps://arxiv.org/abs/0811.2708
dc.identifierhttp://arxiv.org/abs/0811.2708
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174334
dc.subjectFunctional Analysis
dc.subject43A80; 43A85
dc.titleTrasferring $L^p$ eigenfunction bounds from $S^{2n+1}$ to $h^n$
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