An extension problem for the CR fractional Laplacian

Published 12 Dec 2013 in math.DG and math.AP | (1312.3381v1)

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 different from the one studied, among others, by Caffarelli and Silvestre.

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