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Funktsional'nyi Analiz i ego Prilozheniya, 2021, Volume 55, Issue 2, Pages 21–43
DOI: https://doi.org/10.4213/faa3857 (Mi faa3857) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Titchmarsh–Weyl formula for the spectral density of a class of Jacobi matrices in the critical case

S. N. Nabokoa, S. A. Simonovba

a Saint Petersburg State University
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
Full-text PDF (639 kB) Citations (4)
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DOI: https://doi.org/10.4213/faa3857
Abstract: We consider a class of Jacobi matrices with unbounded entries in the so-called critical (double root, Jordan block) case. We prove a formula which relates the spectral density of a matrix to the asymptotics of orthogonal polynomials associated with it.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00657
19-01-00565
Russian Science Foundation 20-11-20032
Knut and Alice Wallenbergs Foundation
Received: 15.11.2020
Revised: 11.02.2021
Accepted: 16.02.2021
English version:
Functional Analysis and Its Applications, 2021, Volume 55, Issue 2, Pages 94–112
DOI: https://doi.org/10.1134/S0016266321020027
Bibliographic databases:
Document Type: Article
UDC: 517.984.51+517.962+517.984.66
Language: Russian
Citation: S. N. Naboko, S. A. Simonov, “Titchmarsh–Weyl formula for the spectral density of a class of Jacobi matrices in the critical case”, Funktsional. Anal. i Prilozhen., 55:2 (2021), 21–43; Funct. Anal. Appl., 55:2 (2021), 94–112
Citation in format AMSBIB
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\jour Funktsional. Anal. i Prilozhen.
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\pages 21--43
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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