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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 1, Pages 12–21 (Mi ivm8414)  
This article is cited in 2 scientific papers (total in 2 papers)

Holomorphic continuation of functions from closed hypersurfaces with singular edges

D. Kh. Dzhumabaev

Chair of Mathematical Analysis, National University of Uzbekistan, Tashkent, Republic of Uzbekistan
Full-text PDF (228 kB) Citations (2)
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Abstract: We study the Bochner–Martinelli integral in a bounded domain $D$ in $\mathbb C^n$ whose boundary contains a finite number of singular edges. As an application we obtain generalizations of Hartogs–Bochner and Aizenberg–Kytmanov theorems on the holomorphic continuation of functions from the domain boundary into the domain.
Keywords: singular wedge, Bochner–Martinelli integral, holomorphic continuation.
Received: 07.01.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 1, Pages 9–18
DOI: https://doi.org/10.3103/S1066369X12010021
Bibliographic databases:
Document Type: Article
UDC: 517.55
Language: Russian
Citation: D. Kh. Dzhumabaev, “Holomorphic continuation of functions from closed hypersurfaces with singular edges”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 1, 12–21; Russian Math. (Iz. VUZ), 56:1 (2012), 9–18
Citation in format AMSBIB
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\paper Holomorphic continuation of functions from closed hypersurfaces with singular edges
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 1
\pages 12--21
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\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 1
\pages 9--18
\crossref{https://doi.org/10.3103/S1066369X12010021}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862646899}
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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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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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