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JOURNALS // Proceedings of the Yerevan State University, series Physical and Mathematical Sciences // Archive

Proceedings of the YSU, Physical and Mathematical Sciences, 2014 Issue 2, Pages 3–12 (Mi uzeru54)

This article is cited in 1 paper

Mathematics

On the divergence of Walsh and Haar series by sectorial and triangular regions

G. A. Karagulyanab, K. R. Muradyanb

a Yerevan State University
b Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan

Abstract: Almost everywhere (a.e.) divergence problems of the triangular and sectorial partial sums of the double Fourier series in Walsh and Haar orthonormal systems are studied. In particular, is constructed an example of bounded function on the unit square, which double Walsh–Fourier series diverges a.e. by an increasing sequence of triangular regions.

Keywords: Haar series, Walsh series, divergence of triangular sums, divergence of sectorial sums.

MSC: 42B08

Received: 20.02.2014
Accepted: 20.03.2014

Language: English



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