Fundamental Solutions and Harmonic Analysis on Nilpotent Groups
نویسنده
چکیده
Our purpose here is to announce results in harmonic analysis related to a large class of hypoelliptic operators on arbitrary simply-connected nilpotent Lie groups. We find the asymptotic development of their fundamental solutions, both locally and at infinity, and study corresponding Riesz transforms and analogues of the Hardy-Littlewood-Sobolev theorem for fractional integration. Details will appear elsewhere (see [NRS]). For linear partial differential operators P = ^\a\<mCLa{x)D 0L
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