Szego-Kolmogorov-Krein theorems on weighted trigonometrical approximation and Carleman-type relations

  • V. A. Bart
  • V. P. Khavin

Abstract

In view of the well-known Szego - Kolmogorov - Krein theorems on weighted approximation by the functions with semibounded spectrum (on a circle or a line), an efficient construction is suggested, which enables one to realize these approximations. It is based on relations similar to the Carleman tor-mula reconstructing an analytic function in terms its trace on the boundary of the domain of definition.
Published
25.02.1994
How to Cite
BartV. A., and KhavinV. P. “Szego-Kolmogorov-Krein Theorems on Weighted Trigonometrical Approximation and Carleman-Type Relations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 46, no. 1-2, Feb. 1994, pp. 100–127, https://umj.imath.kiev.ua/index.php/umj/article/view/5773.
Section
Research articles