2017
Том 69
№ 7

All Issues

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

Bakan A. G.

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Abstract

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

English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 3, pp 347-360.

Citation Example: Bakan A. G. On the completeness of algebraic polynomials in the spaces $L_p (ℝ, dμ)$ // Ukr. Mat. Zh. - 2009. - 61, № 3. - pp. 291-301.

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