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Izvestiya: Mathematics, 2005, Volume 69, Issue 2, Pages 345–363
DOI: https://doi.org/10.1070/IM2005v069n02ABEH000532 (Mi im636) 		 
This article is cited in 9 scientific papers (total in 9 papers)

On holomorphic continuation of functions defined on a pencil of boundary complex lines

S. A. Imomkulov

Al-Kharezmi Urgench State University, Khorezm, Uzbekistan
English version PDF (274 kB) Citations (9) Russian version article
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DOI: https://doi.org/10.1070/IM2005v069n02ABEH000532
Abstract: We study domains of holomorphy of functions having thin singularities along a fixed direction. We prove a boundary analogue of Hartogs' theorem on the holomorphic continuation of functions of several variables that admit holomorphic continuation in one variable.
Received: 28.01.2004
Bibliographic databases:
UDC: 517.55
MSC: 32D99, 32A20
Language: English
Original paper language: Russian
Citation: S. A. Imomkulov, “On holomorphic continuation of functions defined on a pencil of boundary complex lines”, Izv. Math., 69:2 (2005), 345–363
Citation in format AMSBIB
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\by S.~A.~Imomkulov
\paper On holomorphic continuation of functions defined on a~pencil of~boundary complex lines
\jour Izv. Math.
\yr 2005
\vol 69
\issue 2
\pages 345--363
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  • https://doi.org/10.1070/IM2005v069n02ABEH000532
  • https://www.mathnet.ru/eng/im/v69/i2/p125
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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