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arXiv · 1312.3381

An extension problem for the CR fractional Laplacian

Rupert L. Frank·María de Mar González·Dario D. Monticelli·Jinggang Tan
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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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Rupert L. Frank, María de Mar González, Dario D. Monticelli, Jinggang Tan. 2013-12-12. An extension problem for the CR fractional Laplacian. https://arxiv.org/abs/1312.3381

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