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

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

2009-10-25

arxiv.org/abs/0910.4746v1

Mathematics

Representation Theory

The paper is dedicated to Professor Ion Colojoara for his eightieth birthday

Scientific paper

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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