RUS  ENG
Full version
JOURNALS // Ufimskii Matematicheskii Zhurnal // Archive

Ufimsk. Mat. Zh., 2013 Volume 5, Issue 4, Pages 91–104 (Mi ufa225)

This article is cited in 6 papers

Orthosimilar expansion systems in space with reproducing kernel

V. V. Napalkov (Jr.)

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa, Russia

Abstract: We study expansion system similar to orthogonal ones (orthosimilar systems) in reproducing kernel Hilbert spaces. We establish the equivalency of two definitions of orthosimilar system. We show the relation of orthosimilar system with the problem on description of the dual space to a Hilbert space in terms of a special system of functions.

Keywords: Bergman space, Hilbert spaces, reproducing kernel, reproducing kernel Hilbert space, Paley-Wiener theorem.

UDC: 517.5

MSC: 30H20, 30E10, 30E20, 32A26, 46E22, 47B32

Received: 19.06.2013


 English version:
Ufa Mathematical Journal, 2013, 5:4, 88–100

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2026