2017
Том 69
№ 9

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

Dovgoshei A. A.

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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.

English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 7, pp 1012-1022.

Citation Example: Dovgoshei A. A. Some properties of polynomials orthogonal in a space with “intermediate” topology. Kernel function and extremal properties // Ukr. Mat. Zh. - 1993. - 45, № 7. - pp. 915–923.

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