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A Pseudo-differential Calculus on Graded Nilpotent Lie Groups

  • Véronique FischerEmail author
  • Michael Ruzhansky
Conference paper
Part of the Trends in Mathematics book series (TM)

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 Hörmander calculus.

Keywords

Pseudo-differential operators nilpotent Lie groups 

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Dip. ICEAUniversità degli studi di PadovaPadovaItaly
  2. 2.Department of MathematicsImperial College LondonLondonUK

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