Intrinsic pseudo-differential calculus on compact Lie group

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In this paper, we define in an intrinsic way operators on a compact Lie group by means of symbols using the representations of the group. The main purpose is to show that these operators form a symbolic pseudo-differential calculus which coincides or generalises the (local) Hörmander pseudo-differential calculus on the group viewed as a compact manifold.
Original languageEnglish
Pages (from-to)3404-3477
Number of pages74
JournalJournal of Functional Analysis
Issue number11
Early online date29 Mar 2015
Publication statusPublished - 1 Jun 2015


  • Harmonic analysis on Lie groups
  • Analysis on compact Lie groups
  • Pseudo-differential calculus on manifolds


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