This article is cited in 1 paper

On the Principle of Doubly Symmetric Kazmin Sets

G. I. Andriyanov

Kaluga Branch of Bauman Moscow State Technical University

Abstract: The problem of the completeness of the system of analytic functions of the form $\bigcup_{k=0}^2\{[W(z\delta^k)]^{3n}\}_{n=0}^\infty$, where $n=0,1,\dots$, $k=0,1,2$, and $\delta=\exp({2\pi i}/{3})$, in $A(D)$ is solved.

Keywords: system of analytic functions, completeness problem, boundary-value problem.

UDC: 517.442

Received: 08.06.2015
Revised: 18.01.2016

DOI: 10.4213/mzm10808

 English version: Mathematical Notes, 2017, 101:1, 3–16

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