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Parametrix constructions for right invariant differential operators on nilpotent groups

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Abstract

Algebras of right invariant pseudo-differential operators are constructed on any graded nilpotent group G . We obtain parametrices in such algebras for right invariant differential operators P such that P and its adjoint satisfy the hypoellipticity condition of Rockland .

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  1. University of Lund,Inst. of Mathematics, Box 725, S-220 07, Lund, Sweden

    Anders Melin

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  1. Anders Melin
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Melin, A. Parametrix constructions for right invariant differential operators on nilpotent groups. Ann Glob Anal Geom 1, 79–130 (1983). https://doi.org/10.1007/BF02329740

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