@inproceedings{501bbb5d148a44e1ad95813f774076b4,
title = "A pseudo-differential calculus on graded nilpotent Lie groups",
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 quantization given by the representation theory. They form an algebra of operators which shares many properties with the usual H{\"o}rmander calculus.",
keywords = "Nilpotent Lie groups, Pseudo-differential operators",
author = "V{\'e}ronique Fischer and Michael Ruzhansky",
year = "2014",
month = jan,
day = "1",
language = "English",
isbn = "9783319025490",
series = "Trends in Mathematics",
publisher = "Springer International Publishing",
pages = "107--132",
editor = "Ruzhansky, {M. V.} and V. Turunen",
booktitle = "Fourier Analysis - Pseudo-differential Operators, Time-Frequency Analysis and Partial Differential Equations",
address = "Switzerland",
note = "International Conference on Fourier Analysis and Pseudo-Differential Operators, 2012 ; Conference date: 25-06-2012 Through 29-06-2012",
}