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Russian Academy of Sciences. Izvestiya Mathematics, 1995, Volume 44, Issue 1, Pages 181–192
DOI: https://doi.org/10.1070/IM1995v044n01ABEH001588 (Mi im821) 		 
This article is cited in 16 scientific papers (total in 16 papers)

New two-radii theorems in the theory of harmonic functions

V. V. Volchkov
English version PDF (574 kB) Citations (16)
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DOI: https://doi.org/10.1070/IM1995v044n01ABEH001588
Abstract: Functions satisfying the mean value equation over balls of several fixed radii are investigated. A number of substantial amplifications of known theorems of Delsarte and Flatto are obtained. Considered also is the case when the mean value equation is satisfied only approximately (restriction on the growth of the difference between the value of the function at the center of a ball and the mean value over that ball), but nevertheless allows deduction of harmonicity of the function under certain conditions.
Received: 21.07.1992
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1994, Volume 58, Issue 1, Pages 182–194
Bibliographic databases:
UDC: 517.5
MSC: 31B05
Language: English
Original paper language: Russian
Citation: V. V. Volchkov, “New two-radii theorems in the theory of harmonic functions”, Izv. RAN. Ser. Mat., 58:1 (1994), 182–194; Russian Acad. Sci. Izv. Math., 44:1 (1995), 181–192
Citation in format AMSBIB
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\pages 182--194
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1995IzMat..44..181V}
\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1995
\vol 44
\issue 1
\pages 181--192
\crossref{https://doi.org/10.1070/IM1995v044n01ABEH001588}
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  • https://doi.org/10.1070/IM1995v044n01ABEH001588
  • https://www.mathnet.ru/eng/im/v58/i1/p182
    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:484
    Russian version PDF:158
    English version PDF:33
    References:70
    First page:2
     
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