C-spectrality of the Schrödinger operator in Lp spaces Original Research Article

In [1], the notions of C-regularized functional calculus and C-regularized scalar operator are defined and their mutual relationship with temperate C-regularized groups is given. In this note, we apply these notions in two ways: first we consider the Schrödinger operator in Lp(Ω) with Dirichlet boundary condition, when Ω is a bounded domain in Rn. The second application will be the operator −Δ + V in View the MathML source, when V belongs to the Katoʹs class of potentials.