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Mathematics of the USSR-Sbornik, 1986, Volume 53, Issue 1, Pages 147–167
DOI: https://doi.org/10.1070/SM1986v053n01ABEH002914
(Mi sm2076)
 

This article is cited in 4 scientific papers (total in 4 papers)

Spherical harmonics and subharmonic functions

A. A. Kondratyuk
References:
Abstract: The method of Fourier series for entire and meromorphic functions was developed by Rubel and Taylor. Rubel conjectured that similar results are valid for subharmonic functions in $\mathbf R^m$, $m\geqslant3$, and suggested the use of spherical harmonics. In this paper a positive solution is given to this conjecture.
As corollaries, many-dimensional analogues of classical theorems on entire functions due to Weierstrass, Borel and Lindelöf are deduced.
Bibliography: 23 titles.
Received: 24.05.1982 and 22.05.1984
Bibliographic databases:
UDC: 517.574+517.512
MSC: Primary 33A45, 31B05; Secondary 30D15
Language: English
Original paper language: Russian
Citation: A. A. Kondratyuk, “Spherical harmonics and subharmonic functions”, Math. USSR-Sb., 53:1 (1986), 147–167
Citation in format AMSBIB
\Bibitem{Kon84}
\by A.~A.~Kondratyuk
\paper Spherical harmonics and subharmonic functions
\jour Math. USSR-Sb.
\yr 1986
\vol 53
\issue 1
\pages 147--167
\mathnet{http://mi.mathnet.ru//eng/sm2076}
\crossref{https://doi.org/10.1070/SM1986v053n01ABEH002914}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=764475}
\zmath{https://zbmath.org/?q=an:0594.31013}
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  • https://doi.org/10.1070/SM1986v053n01ABEH002914
  • https://www.mathnet.ru/eng/sm/v167/i2/p147
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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