On the spectrum of the hierarchical Schrödinger operator

Alexander Bendikov, Alexander Grigor'yan, Stanislav Molchanov

The goal of this paper is the spectral analysis of the Schrödinger operator $H=L+V$ , the perturbation of the Taibleson-Vladimirov multiplier $L={\mathcal{D}}^{\alpha }$ by a potential $V$.…