Armenian Journal of Mathematics, 13(6)
2021; 1–10
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On the divergence of Fourier series in the general Haar system

Martin Grigoryan*, Artavazd Maranjyan

Received: 2024-12-07 · Published: 2021-09-24

© 2021 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 Fourier series in the general Haar system
Authors
Martin Grigoryan, Artavazd Maranjyan
Source journal
Armenian Journal of Mathematics, 13(6)
Published
2021-09-24
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.52737/18291163-2021.13.6-1-10

Abstract

For any countable set D⊂[0,1]D⊂[0,1], we construct a bounded measurable function ff such that the Fourier series of ff with respect to the regular general Haar system is divergent on DD and convergent on [0,1]∖D[0,1]∖D.
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