2019
Том 71
№ 11

Polynomial Form of de Branges Conditions for the Denseness of Algebraic Polynomials in the Space $C_w^0$

Bakan A. G.

Abstract

In the criterion for polynomial denseness in the space $C_w^0$ established by de Brange in 1959, we replace the requirement of the existence of an entire function by an equivalent requirement of the existence of a polynomial sequence. We introduce the notion of strict compactness of polynomial sets and establish sufficient conditions for a polynomial family to possess this property.

English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 3, pp 364-381.

Citation Example: Bakan A. G. Polynomial Form of de Branges Conditions for the Denseness of Algebraic Polynomials in the Space $C_w^0$ // Ukr. Mat. Zh. - 2005. - 57, № 3. - pp. 305–319.

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