Sbornik: Mathematics
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

Sbornik: Mathematics, 1997, Volume 188, Issue 9, Pages 1279–1294
DOI: https://doi.org/10.1070/sm1997v188n09ABEH000255 (Mi sm255) 		 
This article is cited in 41 scientific papers (total in 41 papers)

Solution of the support problem for several function classes

V. V. Volchkov

Donetsk National University
English version PDF (249 kB) Citations (41)
References:
PDF
HTML
DOI: https://doi.org/10.1070/sm1997v188n09ABEH000255
Abstract: Several classes of functions with zero integrals over all balls of a fixed radius are studied. A description of functions in such classes as series in special functions is obtained and a theorem on a removable singularity is proved. These results make it possible to solve completely the support problem for several classes of functions with zero ball averages. As a consequence, a far-reaching generalization of the well-known Zalcman's two-radii theorem is obtained.
Received: 21.10.1996
Russian version:
Matematicheskii Sbornik, 1997, Volume 188, Number 9, Pages 13–30
DOI: https://doi.org/10.4213/sm255
Bibliographic databases:
UDC: 517.5
MSC: 53C65, 44A35
Language: English
Original paper language: Russian
Citation: V. V. Volchkov, “Solution of the support problem for several function classes”, Mat. Sb., 188:9 (1997), 13–30; Sb. Math., 188:9 (1997), 1279–1294
Citation in format AMSBIB
\Bibitem{Vol97}
\by V.~V.~Volchkov
\paper Solution of the~support problem for several function classes
\jour Mat. Sb.
\yr 1997
\vol 188
\issue 9
\pages 13--30
\mathnet{http://mi.mathnet.ru/sm255}
\crossref{https://doi.org/10.4213/sm255}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1481662}
\zmath{https://zbmath.org/?q=an:0924.53042}
\transl
\jour Sb. Math.
\yr 1997
\vol 188
\issue 9
\pages 1279--1294
\crossref{https://doi.org/10.1070/sm1997v188n09ABEH000255}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000071663400002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0031314646}
Linking options:
  • https://www.mathnet.ru/eng/sm255
  • https://doi.org/10.1070/sm1997v188n09ABEH000255
  • https://www.mathnet.ru/eng/sm/v188/i9/p13
    • This publication is cited in the following 41 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:473
    Russian version PDF:208
    English version PDF:38
    References:56
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024