Geodesic
Fine-analytic functions in $\mathbb{C}^n$
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 4, pp. 444-448

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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
Mots-clés : pluripolar sets. 
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     author = {Azimbai Sadullaev},
     title = {Fine-analytic functions in $\mathbb{C}^n$},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2019_12_4_a5/}
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Azimbai Sadullaev. Fine-analytic functions in $\mathbb{C}^n$. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 4, pp. 444-448. http://geodesic.mathdoc.fr/item/JSFU_2019_12_4_a5/