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• W3042711700 startingPage "107635" @default.
• W3042711700 abstract "In this paper we use the heat equation in a group of Heisenberg type G to provide a unified treatment of the two very different extension problems for the time independent pseudo-differential operators Ls and Ls, 0<s≤1. Here, Ls is the fractional power of the horizontal Laplacian, and Ls is the conformal fractional power of the horizontal Laplacian on G. One of our main objective is compute explicitly the fundamental solutions of these nonlocal operators by a new approach exclusively based on partial differential equations and semigroup methods. When s=1 our results recapture the famous fundamental solution found by Folland and generalised by Kaplan." @default.
• W3042711700 created "2020-07-23" @default.
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• W3042711700 date "2021-04-01" @default.
• W3042711700 modified "2023-09-24" @default.
• W3042711700 title "Feeling the heat in a group of Heisenberg type" @default.
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• W3042711700 doi "https://doi.org/10.1016/j.aim.2021.107635" @default.
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