Matematicheskie Zametki
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. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2006, Volume 79, Issue 2, Pages 178–193
DOI: https://doi.org/10.4213/mzm2688 (Mi mzm2688) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Dependence of the Convergence Domain of Spectral Expansions on the Geometry of the Set of Discontinuity of the Function Being Expanded

Sh. A. Alimov

National University of Uzbekistan named after M. Ulugbek
Full-text PDF (245 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm2688
Abstract: For piecewise smooth functions, we indicate their domains of convergence and Riecz summarizability of their spectral expansions related to the Laplace operator in Rn, depending on the geometry of points of discontinuity of the function being expanded.
Received: 06.12.2004
Revised: 20.04.2005
English version:
Mathematical Notes, 2006, Volume 79, Issue 2, Pages 165–177
DOI: https://doi.org/10.1007/s11006-006-0020-z
Bibliographic databases:
UDC: 517.98
Language: Russian
Citation: Sh. A. Alimov, “Dependence of the Convergence Domain of Spectral Expansions on the Geometry of the Set of Discontinuity of the Function Being Expanded”, Mat. Zametki, 79:2 (2006), 178–193; Math. Notes, 79:2 (2006), 165–177
Citation in format AMSBIB
\Bibitem{Ali06}
\by Sh.~A.~Alimov
\paper Dependence of the Convergence Domain of Spectral Expansions on the Geometry of the Set of Discontinuity of the Function Being Expanded
\jour Mat. Zametki
\yr 2006
\vol 79
\issue 2
\pages 178--193
\mathnet{http://mi.mathnet.ru/mzm2688}
\crossref{https://doi.org/10.4213/mzm2688}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2249108}
\zmath{https://zbmath.org/?q=an:1145.42006}
\elib{https://elibrary.ru/item.asp?id=9218876}
\transl
\jour Math. Notes
\yr 2006
\vol 79
\issue 2
\pages 165--177
\crossref{https://doi.org/10.1007/s11006-006-0020-z}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000235913800020}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-31844449226}
Linking options:
  • https://www.mathnet.ru/eng/mzm2688
  • https://doi.org/10.4213/mzm2688
  • https://www.mathnet.ru/eng/mzm/v79/i2/p178
    • This publication is cited in the following 4 articles:
    1. Sh. A. Alimov, Sh. T. Pirmatov, “On the Smoothness of a Function at the Convergence Point of Its Spectral Expansion Associated with B-Elliptic Operators”, Lobachevskii J Math, 44:8 (2023), 3207  crossref
    2. Alimov Sh.A., “On the Smoothness of Mean Values of Functions with Summable Spectral Expansion”, Differ. Equ., 48:4 (2012), 506–516  crossref  mathscinet  zmath  isi  elib  scopus
    3. Ashurov R., Butaev A., “The Kahane theorem for nonspherical partial sums of Fourier integrals”, C. R. Math. Acad. Sci. Paris, 348:19–20 (2010), 1103–1106  crossref  mathscinet  zmath  isi  scopus
    4. Ashurov R. R., “On summability of eigenfunction expansions of piecewise smooth functions”, Appl. Anal., 87:1 (2008), 29–44  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:637
    Full-text PDF :292
    References:102
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025