Fractional Laplacians, extension problems and Lie groups
Diego Chamorro, Oscar Jarrín · Comptes Rendus Mathématique · 2015
We generalize some results concerning the fractional powers of the Laplace operator to the setting of nilpotent Lie Groups and we study its relationship with the solutions to a partial differential equation in the spirit of the articles of Caffarelli & Silvestre [1] and Stinga & Torrea [7].