MULTIDIMENSIONAL BOUNDARY ANALOG OF THE HARTOGS THEOREM IN CIRCULAR DOMAINS
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Date:
2018-02Journal Name:
Журнал Сибирского федерального университетаJournal Quartile in Scopus:
Q3Journal Quartile in Web of Science:
без квартиляBibliographic Citation:
Кытманов, Александр Мечиславович. MULTIDIMENSIONAL BOUNDARY ANALOG OF THE HARTOGS THEOREM IN CIRCULAR DOMAINS [Текст] / Александр Мечиславович Кытманов, Симона Глабовна Мысливец // Журнал Сибирского федерального университета: Математика и физика. — 2018. — Т. 11 (№ 1). — С. 79-90Abstract:
In this paper we consider continuous functions given on the boundary of a domain D of C^n, n>1, and having one-dimensional property of holomorphic extension along the families of complex lines, passing through finite number of points of D. We prove the existence of holomorphic extension of such functions in the ball $B$.