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Sbornik: Mathematics, 2005, Volume 196, Issue 5, Pages 765–775
DOI: https://doi.org/10.1070/SM2005v196n05ABEH000899 (Mi sm1361) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Pluriharmonic continuation in a fixed direction

A. S. Sadullaev

Al-Kharezmi Urgench State University, Khorezm, Uzbekistan
English version PDF (178 kB) Citations (4)
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DOI: https://doi.org/10.1070/SM2005v196n05ABEH000899
Abstract: Questions of the holomorphic and the pluriharmonic continuation of functions in a fixed direction are considered. It is shown that in the continuation of pluriharmonic functions from a boundary system of lines one usually confronts many-valued extensions. This phenomenon is directly related to a counterexample of Levenberg and Slodkowski demonstrating that there exists no potential for a pseudoconvex set in the general case.
Received: 07.06.2004
Russian version:
Matematicheskii Sbornik, 2005, Volume 196, Number 5, Pages 145–156
DOI: https://doi.org/10.4213/sm1361
Bibliographic databases:
UDC: 517.55+517.519
MSC: Primary 32Dxx; Secondary 32U15
Language: English
Original paper language: Russian
Citation: A. S. Sadullaev, “Pluriharmonic continuation in a fixed direction”, Mat. Sb., 196:5 (2005), 145–156; Sb. Math., 196:5 (2005), 765–775
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Russian version PDF:193
    English version PDF:13
    References:56
    First page:1
     
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