The Weyl calculus for group generators satisfying the canonical commutation relations
The Weyl calculus for group generators satisfying the canonical commutation relations
We generalise the classical Weyl pseudo-differential calculus on Rd to the setting of two d-tuples of operators A=(A1,…,Ad) and B=(B1,…,Bd) acting on a Banach space generating bounded C0-groups satisfying the Weyl canonical commutation relations. We show that the resulting Weyl calculus extends to symbols in the standard symbol class S0 …