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This article is cited in 6 scientific papers (total in 6 papers)
An extremum problem related to Morera's theorem
V. V. Volchkov
Donetsk National University
Abstract:
The property of being holomorphic is studied for a continuous function whose integrals over the boundaries of the triangles from a specified set are zero. The results substantially strengthen Morera's and Dzyadyk's well-known theorems.
DOI:
https://doi.org/10.4213/mzm1898
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English version:
Mathematical Notes, 1996, 60:6, 606–610
Bibliographic databases:
  
UDC:
517.5
Received: 08.09.1994
Citation:
V. V. Volchkov, “An extremum problem related to Morera's theorem”, Mat. Zametki, 60:6 (1996), 804–809; Math. Notes, 60:6 (1996), 606–610
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/mz1898https://doi.org/10.4213/mzm1898 http://mi.mathnet.ru/eng/mz/v60/i6/p804
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This publication is cited in the following articles:
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V. V. Volchkov, “Extremal problems on Pompeiu sets”, Sb. Math., 189:7 (1998), 955–976
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Volchkov, VV, “Functions with zero integrals over parallelepipeds”, Doklady Akademii Nauk, 369:4 (1999), 444
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V. V. Volchkov, “Extremal problems on Pompeiu sets. II”, Sb. Math., 191:5 (2000), 619–632
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Volchkov, VV, “On polyhedra with the local Pompeiu property”, Doklady Mathematics, 62:1 (2000), 69
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Volchkov, VV, “On functions with vanishing integrals over ellipsoids”, Doklady Mathematics, 63:1 (2001), 25
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Ochakovskaya, OA, “Geometric criteria for holomorphy of functions”, Doklady Mathematics, 79:3 (2009), 428
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