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Journal of Siberian Federal University. Mathematics & Physics, 2022, Volume 15, Issue 1, Pages 29–45
DOI: https://doi.org/10.17516/1997-1397-2022-15-1-29-45 (Mi jsfu973) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the multidimensional boundary analogue of the Morera theorem

Simona G. Myslivets

Siberian Federal University, Krasnoyarsk, Russian Federation
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DOI: https://doi.org/10.17516/1997-1397-2022-15-1-29-45
Abstract: We discuss functions with the one-dimensional holomorphic extension property along complex lines and curves and also boundary multidimensional variants of the Morera theorem. We show how integral representations can be applied to the study of analytic continuation of functions, in particular to multidimensional boundary analogues of the Morera theorems.
Keywords: one-dimensional holomorphic extension property, multidimensional variants of the Morera theorem.
Received: 17.09.2021
Received in revised form: 22.11.2021
Accepted: 26.12.2021
Bibliographic databases:
Document Type: Article
UDC: 517.55
Language: English
Citation: Simona G. Myslivets, “On the multidimensional boundary analogue of the Morera theorem”, J. Sib. Fed. Univ. Math. Phys., 15:1 (2022), 29–45
Citation in format AMSBIB
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\by Simona~G.~Myslivets
\paper On the multidimensional boundary analogue of the Morera theorem
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2022
\vol 15
\issue 1
\pages 29--45
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4383490}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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