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, 2007, Volume 41, Issue 1, Pages 66–89
DOI: https://doi.org/10.4213/faa2853 (Mi faa2853) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Eigenfunction Expansions Associated with One-Dimensional Periodic Differential Operators of Order $2n$

V. A. Tkachenko

Ben-Gurion University of the Negev
Full-text PDF (318 kB) Citations (10)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa2853
Abstract: We prove an explicit formula for spectral expansions in $L^2(\mathbb{R})$ generated by self-adjoint differential operators
$$ (-1)^n\frac{d^{2n}}{dx^{2n}}+\sum_{j=0}^{n-1}\frac{d^{j}}{dx^{j}}\, p_j(x)\frac{d^{j}}{dx^{j}}\,,\qquad p_j(x+\pi)=p_j(x),\quad x\in\mathbb{R}. $$
Keywords: differential operator, eigenfunction expansion, spectral matrix.
Received: 15.05.2006
English version:
Functional Analysis and Its Applications, 2007, Volume 41, Issue 1, Pages 54–72
DOI: https://doi.org/10.1007/s10688-007-0005-z
Bibliographic databases:
Document Type: Article
UDC: 517.983.35
Language: Russian
Citation: V. A. Tkachenko, “Eigenfunction Expansions Associated with One-Dimensional Periodic Differential Operators of Order $2n$”, Funktsional. Anal. i Prilozhen., 41:1 (2007), 66–89; Funct. Anal. Appl., 41:1 (2007), 54–72
Citation in format AMSBIB
\Bibitem{Tka07}
\by V.~A.~Tkachenko
\paper Eigenfunction Expansions Associated with One-Dimensional Periodic Differential Operators of Order~$2n$
\jour Funktsional. Anal. i Prilozhen.
\yr 2007
\vol 41
\issue 1
\pages 66--89
\mathnet{http://mi.mathnet.ru/faa2853}
\crossref{https://doi.org/10.4213/faa2853}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2333983}
\zmath{https://zbmath.org/?q=an:1124.34059}
\elib{https://elibrary.ru/item.asp?id=9450966}
\transl
\jour Funct. Anal. Appl.
\yr 2007
\vol 41
\issue 1
\pages 54--72
\crossref{https://doi.org/10.1007/s10688-007-0005-z}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000245717700005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33947389249}
Linking options:
  • https://www.mathnet.ru/eng/faa2853
  • https://doi.org/10.4213/faa2853
  • https://www.mathnet.ru/eng/faa/v41/i1/p66
    • This publication is cited in the following 10 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:672
    Full-text PDF :371
    References:88
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024