Smooth vectors and Weyl-Pedersen calculus for representations of nilpotent Lie groups

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Beltita, Ingrid; Beltita, Daniel;
  • Subject: 22E25 | Secondary 22E27, 35S05, 47G30 | Mathematics - Analysis of PDEs | Mathematics - Representation Theory
    arxiv: Mathematics::Representation Theory | Mathematics::Operator Algebras

We present some recent results on smooth vectors for unitary irreducible representations of nilpotent Lie groups. Applications to the Weyl-Pedersen calculus of pseudo-differential operators with symbols on the coadjoint orbits are also discussed.
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