2014; Physical and Mathematical Sciences, 48(2 (234): 3–12
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ON THE DIVERGENCE OF WALSH AND HAAR SERIES BY SECTORIAL AND TRIANGULAR REGIONS

G. Karagulyan*

Received: 2025-02-12 · Published: 2014-07-10

© 2014 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
ON THE DIVERGENCE OF WALSH AND HAAR SERIES BY SECTORIAL AND TRIANGULAR REGIONS
Author
G. Karagulyan
Published
2014-07-10
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.46991/PYSUA.2014.48.2.003

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.
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