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An extension problem for the CR fractional Laplacian

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Frank, Rupert L.
González Nogueras, María del MarMés informació
Monticelli, Dario D.
Tan, Jinggang
Document typeResearch report
Defense date2013-12
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain
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
CitationFrank, Rupert L. [et al.]. "An extension problem for the CR fractional Laplacian". 2013. 
Is part of[prepr201313FraGMT]
URIhttp://hdl.handle.net/2117/21457
URL other repositoryhttp://www.ma1.upc.edu/recerca/preprints/preprints-2013/preprint-2013
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