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Journal of Siberian Federal University. Mathematics & Physics, 2019, Volume 12, Issue 4, Pages 444–448
DOI: https://doi.org/10.17516/1997-1397-2019-12-4-444-448
(Mi jsfu781)
 

Fine-analytic functions in $\mathbb{C}^n$

Azimbai Sadullaev

Department of Mathematics, National university of Uzbekistan, University, 4, Tashkent, 100174, Uzbekistan
References:
Abstract: In this paper we study class of fine-analytic functions in the multidimensional space $\mathbb{C}^n$. The definition of fine-analytic functions in the multidimensional case differs somewhat from the well-known definition of fine-analytic functions on the plane. We give a relationship between classical notion of fine-analyticity and fine-analyticity in $\mathbb{C}^n$.
Keywords: Gonchar class, finite order functions, rational approximation, fine-analytic functions, pluripolar sets.
Received: 07.09.2018
Received in revised form: 09.11.2018
Accepted: 13.04.2019
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: Azimbai Sadullaev, “Fine-analytic functions in $\mathbb{C}^n$”, J. Sib. Fed. Univ. Math. Phys., 12:4 (2019), 444–448
Citation in format AMSBIB
\Bibitem{Sad19}
\by Azimbai~Sadullaev
\paper Fine-analytic functions in $\mathbb{C}^n$
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2019
\vol 12
\issue 4
\pages 444--448
\mathnet{http://mi.mathnet.ru/jsfu781}
\crossref{https://doi.org/10.17516/1997-1397-2019-12-4-444-448}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000483323900006}
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