Dunkl-Schrodinger Operators

摘要

In this paper, we consider the Schrodinger operators Lk=-k+V, where k is the Dunkl-Laplace operator and V is a non-negative potential on Rd. We establish that Lk is essentially self-adjoint on C0(Rd). In particular, we develop a bounded H-calculus on Lp spaces for the Dunkl harmonic oscillator operator.