Prefer a chat interface with context about you and your work?
Boundedness for Weyl–Pedersen Calculus on Flat Coadjoint Orbits
We describe boundedness and compactness properties for the operators obtained by the Weyl–Pedersen calculus in the case of the irreducible unitary representations of nilpotent Lie groups that are associated with flat coadjoint orbits. We use spaces of smooth symbols satisfying appropriate growth conditions expressed in terms of invariant differential operators …