Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find




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

Funktsional'nyi Analiz i ego Prilozheniya, 2018, Volume 52, Issue 1, Pages 85–88
DOI: https://doi.org/10.4213/faa3469 (Mi faa3469) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Brief communications

On Spectral Asymptotics of the Neumann Problem for the Sturm–Liouville Equation with Arithmetically Self-Similar Weight of a Generalized Cantor Type

N. V. Rastegaev

Chebyshev Laboratory, Saint Petersburg State University, St. Petersburg, Russia
Full-text PDF (122 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa3469
Abstract: Spectral asymptotics of the Sturm–Liouville problem with an arithmetically self-similar singular weight is considered. Previous results by A. A. Vladimirov and I. A. Sheipak, and also by the author, rely on the spectral periodicity property, which imposes significant restrictions on the self-similarity parameters of the weight. This work introduces a new method for estimating the eigenvalue counting function. This makes it possible to consider a much wider class of self-similar measures.
Keywords: spectral asymptotics, semi-similar measure.
Funding agency Grant number
Saint Petersburg State University 6.65.37.2017
Russian Foundation for Basic Research 16-01-00258а
This work is supported by the joint SPbU-DFG grant No. 6.65.37.2017 and by RFBR grant (project 16-01-00258a).
Received: 23.04.2017
English version:
Functional Analysis and Its Applications, 2018, Volume 52, Issue 1, Pages 70–73
DOI: https://doi.org/10.1007/s10688-018-0211-x
Bibliographic databases:
Document Type: Article
UDC: 517.927.25
Language: Russian
Citation: N. V. Rastegaev, “On Spectral Asymptotics of the Neumann Problem for the Sturm–Liouville Equation with Arithmetically Self-Similar Weight of a Generalized Cantor Type”, Funktsional. Anal. i Prilozhen., 52:1 (2018), 85–88; Funct. Anal. Appl., 52:1 (2018), 70–73
Citation in format AMSBIB
\Bibitem{Ras18}
\by N.~V.~Rastegaev
\paper On Spectral Asymptotics of the Neumann Problem for the Sturm--Liouville Equation with Arithmetically Self-Similar Weight of a Generalized Cantor Type
\jour Funktsional. Anal. i Prilozhen.
\yr 2018
\vol 52
\issue 1
\pages 85--88
\mathnet{http://mi.mathnet.ru/faa3469}
\crossref{https://doi.org/10.4213/faa3469}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3762292}
\elib{https://elibrary.ru/item.asp?id=32428048}
\transl
\jour Funct. Anal. Appl.
\yr 2018
\vol 52
\issue 1
\pages 70--73
\crossref{https://doi.org/10.1007/s10688-018-0211-x}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000428558200011}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85044721329}
Linking options:
  • https://www.mathnet.ru/eng/faa3469
  • https://doi.org/10.4213/faa3469
  • https://www.mathnet.ru/eng/faa/v52/i1/p85
    • This publication is cited in the following 3 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
    Statistics & downloads:
    Abstract page:499
    Full-text PDF :39
    References:54
    First page:27
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024