Some properties of polynomials orthogonal in a space with “intermediate” topology. Kernel function and extremal properties

• Date: 1993
• Main Authors: Dovgoshei, A. A., Довгошей, А. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1993
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5884
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

A space of holomorphic functions is considered. A topology in this space is “intermediate” between the topology of uniform convergence and the topology of uniform convergence on compact sets. The properties of systems of orthonormal polynomials are studied in Hilbert spaces with this topology.