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On the completeness of algebraic polynomials in the spaces $L_p (ℝ, dμ)$

We prove that the theorem on the incompleteness of polynomials in the space $C^0_w$ established by de Branges in 1959 is not true for the space $L_p (ℝ, dμ)$) if the support of the measure μ is sufficiently dense

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Bibliographic Details
Date:	2009
Main Authors:	Bakan, A. G., Бакан, А. Г.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2009
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3020
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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