Некоторые свойства полиномов, ортогональных в пространстве с "промежуточной" топологией. Керн-функция и экстремальные свойства

Abstract

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.