Smooth vectors and Weyl-Pedersen calculus for representations of nilpotent Lie groupsPreprint English OPEN
Beltita, Ingrid; Beltita, Daniel; (2009)
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.