This article is cited in 2 papers

On a Class of Sets of Uniqueness for Double Trigonometric Series

T. A. Zherebyova

M. V. Lomonosov Moscow State University

Abstract: We obtain a new class of sets of uniqueness for double trigonometric series in the case of rectangular convergence as well as prove the two-dimensional analog of Privalov's theorem.

Keywords: double trigonometric series, set of uniqueness for a series, rectangular convergence, Privalov's theorem, Lebesgue measurable function, Walsh system.

UDC: 517.518.43

Received: 23.10.2007
Revised: 13.10.2008

DOI: 10.4213/mzm4175

 English version: Mathematical Notes, 2010, 87:6, 811–820

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