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Sbornik: Mathematics, 1998, Volume 189, Issue 7, Pages 955–976
DOI: https://doi.org/10.1070/sm1998v189n07ABEH000343 (Mi sm343) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Extremal problems on Pompeiu sets

V. V. Volchkov

Donetsk National University
English version PDF (312 kB) Citations (6)
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DOI: https://doi.org/10.1070/sm1998v189n07ABEH000343
Abstract: The local Pompeiu problem and related questions about functions with vanishing integrals over parallelepipeds are studied. One of the central results of the paper is the solution of the problem about the ball of smallest radius in which parallelepipeds of fixed size have the Pompeiu property. Several results of interest for complex analysis and approximation theory are obtained as consequences.
Received: 27.08.1997
Russian version:
Matematicheskii Sbornik, 1998, Volume 189, Number 7, Pages 3–22
DOI: https://doi.org/10.4213/sm343
Bibliographic databases:
UDC: 517.5
MSC: Primary 26B15, 53C65; Secondary 30E20
Language: English
Original paper language: Russian
Citation: V. V. Volchkov, “Extremal problems on Pompeiu sets”, Mat. Sb., 189:7 (1998), 3–22; Sb. Math., 189:7 (1998), 955–976
Citation in format AMSBIB
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\transl
\jour Sb. Math.
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    Cycle of papers
    This publication is cited in the following 6 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
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    Abstract page:693
    Russian version PDF:282
    English version PDF:37
    References:40
    First page:1
     
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