AN EXAMPLE OF DOUBLE FOURIER–HAAR SERIES WITH A NONREGULAR SUBSERIES

Karen Keryan

doi:10.46991/PYSU:A/2017.51.1.018

Author

Karen Keryan *

* Corresponding author

Category: Natural Sciences, Mathematics
DOI: 10.46991/PYSU:A/2017.51.1.018
Published: 2017-03-20
License: CC BY-NC 4.0

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Keywords

double Haar seriesmajorantsquare function-integral

Cite this article

Keryan, K. (2017). AN EXAMPLE OF DOUBLE FOURIER–HAAR SERIES WITH A NONREGULAR SUBSERIES. , Physical and Mathematical Sciences, 51(1 (242), 18-21. https://doi.org/10.46991/PYSU:A/2017.51.1.018

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2017; Physical and Mathematical Sciences, 51(1 (242): 18–21

DOI: 10.46991/PYSU:A/2017.51.1.018

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AN EXAMPLE OF DOUBLE FOURIER–HAAR SERIES WITH A NONREGULAR SUBSERIES

Karen Keryan*

Received: 2025-02-06 · Published: 2017-03-20

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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Original title: AN EXAMPLE OF DOUBLE FOURIER–HAAR SERIES WITH A NONREGULAR SUBSERIES
Author: Karen Keryan
Published: 2017-03-20
Licence: Creative Commons Attribution-NonCommercial 4.0 International
Original: https://doi.org/10.46991/PYSU:A/2017.51.1.018

Abstract

We bring an example of integrable function on [0;1]2, so that the double Fourier–Haar series has a subseries, whose majorant of partial sums does not belong to L1,∞.

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AN EXAMPLE OF DOUBLE FOURIER–HAAR SERIES WITH A NONREGULAR SUBSERIES

Abstract

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