A. D. Bendikov, “On the spectrum of hierarchical Schrödinger-type operators acting on a Cantor-like set”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2023, Volume 221,Pages <nobr>20

On the spectrum of hierarchical Schrödinger-type operators acting on a Cantor-like set

A. D. Bendikov

Institute of Mathematics, Wroclaw University

Abstract: This paper is written within the project “On the spectrum of hierarchical Schrödinger-type operators” joint with A. Grigor'yan (Bielefeld University) and S. Molchanov (University of North Carolina at Charlotte) and continues the studies started earlier.

Keywords: ultrametric space, symmetric Markov semigroup, symmetric Markov generator, spectral asymptotics, localization theory.

UDC: 517.95

MSC: 35P05

DOI: 10.36535/0233-6723-2023-221-20-30