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

  • A. G. Bakan


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
How to Cite
Bakan, A. G. “On the Completeness of Algebraic Polynomials in the Spaces $L_p (ℝ, dμ)$”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, no. 3, Mar. 2009, pp. 291-0, https://umj.imath.kiev.ua/index.php/umj/article/view/3020.
Research articles