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A pseudo-differential calculus on graded Lie groups
File(s)
1209.2621v2.pdf (305.63 KB)
Working paper
Author(s)
Fischer, V
Ruzhansky, M
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.
Date Issued
2014-12-31
URI
DOI
Copyright Statement
© 2013 The Authors
License URL
Description
15.05.14 KB. Ok to add working paper to spiral, authors hold copyright
Identifier
http://arxiv.org/abs/1209.2621v2
Notes
conference Aalto University, Helsinki, June 2012