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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
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
Citation:
A. S. Sadullaev, “Pluriharmonic continuation in a fixed direction”, Sb. Math., 196:5 (2005), 765–775
Linking options:
https://www.mathnet.ru/eng/sm1361https://doi.org/10.1070/SM2005v196n05ABEH000899 https://www.mathnet.ru/eng/sm/v196/i5/p145
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Abstract page: | 379 | Russian version PDF: | 200 | English version PDF: | 16 | References: | 61 | First page: | 1 |
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