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An extension problem for the CR fractional Laplacian
Frank, Rupert L.; González Nogueras, María del Mar; Monticelli, Dario D.; Tan, Jinggang
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
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
Àrees temàtiques de la UPC::Matemàtiques i estadística
CR submanifolds
Geometry, Differential
Geometria diferencial
Attribution-NonCommercial-NoDerivs 3.0 Spain
Article - Draft

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