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Sbornik: Mathematics, 1995, Volume 186, Issue 6, Pages 783–802
DOI: https://doi.org/10.1070/SM1995v186n06ABEH000043 (Mi sm43) 		 
This article is cited in 37 scientific papers (total in 37 papers)

A definitive version of the local two-radii theorem

V. V. Volchkov

Donetsk National University
English version PDF (795 kB) Citations (37) Russian version article
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DOI: https://doi.org/10.1070/SM1995v186n06ABEH000043
Abstract: Various classes of functions with zero integrals over all balls of a fixed radius are studied. For functions in such classes a description in the form of a series in special functions is obtained and a uniqueness theorem is proved. These results make it possible to solve completely the problem of existence of a non-trivial function with zero integrals over all balls of radius assuming either of two given values.
Received: 24.08.1994
Bibliographic databases:
UDC: 517.5
MSC: 53C65, 44A35
Language: English
Original paper language: Russian
Citation: V. V. Volchkov, “A definitive version of the local two-radii theorem”, Sb. Math., 186:6 (1995), 783–802
Citation in format AMSBIB
\Bibitem{Vol95}
\by V.~V.~Volchkov
\paper A definitive version of the~local two-radii theorem
\jour Sb. Math.
\yr 1995
\vol 186
\issue 6
\pages 783--802
\mathnet{http://mi.mathnet.ru//eng/sm43}
\crossref{https://doi.org/10.1070/SM1995v186n06ABEH000043}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1349012}
\zmath{https://zbmath.org/?q=an:0860.43007}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TC19700010}
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    • This publication is cited in the following 37 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:510
    Russian version PDF:126
    English version PDF:22
    References:63
    First page:1
     
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