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Matematicheskie Zametki, 1997, Volume 62, Issue 1, Pages 59–65
DOI: https://doi.org/10.4213/mzm1587 (Mi mzm1587) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Uniqueness theorems for some classes of functions with zero spherical means

V. V. Volchkov

Donetsk National University
Full-text PDF (193 kB) Citations (11)
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DOI: https://doi.org/10.4213/mzm1587
Abstract: We study various classes of functions that have zero integrals over all spheres of given radius. For these functions, we obtain a description in the form of a series in special functions; the problem of the existence of a nonzero function of prescribed growth with this property is completely solved.
Received: 23.08.1994
English version:
Mathematical Notes, 1997, Volume 62, Issue 1, Pages 50–55
DOI: https://doi.org/10.1007/BF02356063
Bibliographic databases:
UDC: 517
Language: Russian
Citation: V. V. Volchkov, “Uniqueness theorems for some classes of functions with zero spherical means”, Mat. Zametki, 62:1 (1997), 59–65; Math. Notes, 62:1 (1997), 50–55
Citation in format AMSBIB
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\pages 59--65
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\transl
\jour Math. Notes
\yr 1997
\vol 62
\issue 1
\pages 50--55
\crossref{https://doi.org/10.1007/BF02356063}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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