Fractional Laplacians and Nilpotent Lie Groups

Published 17 Sep 2014 in math.AP and math.FA | (1409.5055v1)

Abstract: The aim of this short article is to generalize, with a slighthly different point of view, some new results concerning the fractional powers of the Laplace operator to the setting of Nilpotent Lie Groups and to study its relationship with the solutions of a partial differential equation in the spirit of the articles of Caffarelli & Silvestre and Stinga & Torrea.

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