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On the spectrum of the hierarchical Schrödinger type operators
Alexander Bendikov, Alexander Grigor'yan, Stanislav Molchanov
The goal of this paper is the spectral analysis of the Schrödinger type operator , the perturbation of the Taibleson-Vladimirov multiplier by a potential…
math.SP2020
Hierarchical Schrödinger-type operators: the case of potentials with local singularities
Alexander Bendikov, Alexander Grigor'yan, Stanislav Molchanov
The goal of this paper is twofold. We prove that the operator , a perturbation of the Taibleson-Vladimirov multiplier by a potential $V(x)=b\left\Vert x\…