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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1974 Volume 15, Issue 1, Pages 101–112 (Mi mzm7324)

This article is cited in 2 papers

Interpolation in certain Hilbert spaces of analytic functions

S. V. Shvedenko

Moscow Electronic Engineering Institute

Abstract: In this article we study, for a Hilbert space $\mathfrak H$ of analytic functions in the open unit disk, the dependence of the structure of the space of sequences $\mathfrak H(Z)=\{\{f(z_k)\}_{k=1}^\infty:f\in\mathfrak H\}$ on the choice of the sequence $Z=\{z_k\}_{k=1}^\infty$ of distinct points of the unit disk.

UDC: 517.53

Received: 17.11.1972


 English version:
Mathematical Notes, 1974, 15:1, 56–61

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