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Sbornik: Mathematics, 2000, Volume 191, Issue 5, Pages 619–632
DOI: https://doi.org/10.1070/sm2000v191n05ABEH000474
(Mi sm474)
 

This article is cited in 2 scientific papers (total in 3 papers)

Extremal problems on Pompeiu sets. II

V. V. Volchkov

Donetsk National University
References:
Abstract: A solution of the local Pompeiu problem is obtained for functions with vanishing integrals over parallelepipeds lying in a fixed ball.
Received: 15.09.1998
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. II”, Sb. Math., 191:5 (2000), 619–632
Citation in format AMSBIB
\Bibitem{Vol00}
\by V.~V.~Volchkov
\paper Extremal problems on Pompeiu sets. II
\jour Sb. Math.
\yr 2000
\vol 191
\issue 5
\pages 619--632
\mathnet{http://mi.mathnet.ru/eng/sm474}
\crossref{https://doi.org/10.1070/sm2000v191n05ABEH000474}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1773766}
\zmath{https://zbmath.org/?q=an:0977.30012}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0034341436}
Linking options:
  • https://www.mathnet.ru/eng/sm474
  • https://doi.org/10.1070/sm2000v191n05ABEH000474
  • https://www.mathnet.ru/eng/sm/v191/i5/p3
    Cycle of papers
    This publication is cited in the following 3 articles:
    1. O. G. Avsyankin, V. P. Burskii, V. V. Goryainov, V. P. Zastavnyi, A. Yu. Ivanov, A. A. Kovalevskii, S. V. Konyagin, D. V. Limanskii, A. D. Manov, P. A. Masharov, L. L. Oridoroga, I. P. Polovinkin, S. M. Sitnik, E. L. Shishkina, “Valerii Vladimirovich Volchkov (k shestidesyatiletiyu so dnya rozhdeniya)”, UMN, 80:2(482) (2025), 184–189  mathnet  crossref
    2. V. V. Volchkov, “Local two-radii theorem in symmetric spaces”, Sb. Math., 198:11 (2007), 1553–1577  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    3. Vit. V. Volchkov, “Functions with zero ball means on the quaternionic hyperbolic space”, Izv. Math., 66:5 (2002), 875–903  mathnet  crossref  crossref  mathscinet  zmath
    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:497
    Russian version PDF:207
    English version PDF:26
    References:76
    First page:1
     
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