Matematicheskii Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Matematicheskii Sbornik, 2025, Volume 216, Number 11, Pages 41–61
DOI: https://doi.org/10.4213/sm10341
(Mi sm10341)
 

Support of the measure in an integral representation for a Nevanlinna function defined by a limit periodic continued fraction

V. I. Buslaev

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
References:
Abstract: In terms of a continued fraction with limit-periodic parameters, which is similar to a Schur continued fraction and converges to the Nevanlinna function, a representation for the support of the measure associated with the limiting Nevanlinna function is obtained.
Keywords: analogue of the Schur continued function, integral representation of the Nevanlinna function.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2025-303
Received: 05.05.2025 and 08.09.2025
Published: 31.10.2025
Document Type: Article
Language: Russian
Citation: V. I. Buslaev, “Support of the measure in an integral representation for a Nevanlinna function defined by a limit periodic continued fraction”, Sb. Math., 216:11 (2025)
Citation in format AMSBIB
\Bibitem{Bus25}
\by V.~I.~Buslaev
\paper Support of the measure in an integral representation for a Nevanlinna function defined by a limit periodic continued fraction
\jour Sb. Math.
\yr 2025
\vol 216
\issue 11
\mathnet{http://mi.mathnet.ru/eng/sm10341}
Linking options:
  • https://www.mathnet.ru/eng/sm10341
  • https://doi.org/10.4213/sm10341
  • https://www.mathnet.ru/eng/sm/v216/i11/p41
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник Sbornik: Mathematics
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025