An extension problem for the CR fractional Laplacian

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Title:	An extension problem for the CR fractional Laplacian
Author:	Frank, Rupert L.; González Nogueras, María del Mar; Monticelli, Dario D.; Tan, Jinggang
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
Abstract:	We show that the conformally invariant fractional powers of the sub-Laplacian on the Heisenberg group are given in terms of the scattering operator for an extension problem to the Siegel upper halfspace. Remarkably, this extension problem is di erent from the one studied, among others, by Ca arelli and Silvestre
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -CR submanifolds -Geometry, Differential -Geometria diferencial
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Draft Report
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