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«ՀՀ ԳԱԱ Տեղեկագիր: Մաթեմատիկա»-ն լույս է տեսնում 1966 թվականից՝ տարին 6 անգամ։
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Title:
Universal meromorphic approximation on Vitushkin sets
Creator:
W. Luh ; T. Meyrath ; M. Niess
Contributor(s):
Գլխավոր խմբ․՝ Մ․ Մ․ Ջրբաշյան (1966-1994) ; Ռ․ Վ․ Համբարձումյան (1994-2009) ; Ա․ Ա․ Սահակյան (2010-)
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The paper proves the following result on universal meromorphic approximation: Given any unbounded sequence { λ n } ⊂ C, there exists a function ф, meromorphiС on C, with the following property. For every compact set K of rational approximation (i.e. Vitushkin set), and every function f , continuous on K and holomorphic in the interior of K, there exists a subsequence {nk} of N such that {Փ (հ + λ nk)} converges to f (z) uniformly on K. A similar result is obtained for arbitrary domains G = C. Moreover, in case { λ n} = {n} the function ф is frequently universal in terms of Bayart/Grivaux [3].
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Երևան
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ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան