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

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

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,∞.

DOI: 10.46991/PYSU:A/2017.51.1.018 Physical and Mathematical Sciences, 51(1 (242) 18-21

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Keywords

double Haar series, majorant, square function, -integral

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