Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 221, Pages 20–30
DOI: https://doi.org/10.36535/0233-6723-2023-221-20-30 (Mi into1126) 		 
On the spectrum of hierarchical Schrödinger-type operators acting on a Cantor-like set

A. D. Bendikov

Institute of Mathematics, Wroclaw University
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DOI: https://doi.org/10.36535/0233-6723-2023-221-20-30
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.
Document Type: Article
UDC: 517.95
MSC: 35P05
Language: Russian
Citation: A. D. Bendikov, “On the spectrum of hierarchical Schrödinger-type operators acting on a Cantor-like set”, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998).  Moscow, November 1–4, 2021. Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 221, VINITI, Moscow, 2023, 20–30
Citation in format AMSBIB
\Bibitem{Ben23}
\by A.~D.~Bendikov
\paper On the spectrum of hierarchical Schr\"{o}dinger-type
operators acting on a Cantor-like set
\inbook Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998).  Moscow, November 1–4, 2021. Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 221
\pages 20--30
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1126}
\crossref{https://doi.org/10.36535/0233-6723-2023-221-20-30}
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