A pseudo-differential calculus on graded Lie groups

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Title: A pseudo-differential calculus on graded Lie groups
Author(s): Fischer, V
Ruzhansky, M
Item Type: Report
Abstract: In this paper, we present first results of our investigation regarding symbolic pseudo-differential calculi on nilpotent Lie groups. On any graded Lie group, we define classes of symbols using difference operators. The operators are obtained from these symbols via the natural quantisation given by the representation theory. They form an algebra of operators which shares many properties with the usual Hormander calculus.
Publication Date: 15-May-2014
URI: http://hdl.handle.net/10044/1/13805
Copyright Statement: © 2013 The Authors
Appears in Collections:Pure Mathematics

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