ON DIVERGENCE OF FOURIER–WALSH SERIES OF CONTINUOUS FUNCTION

Author(s)

ON DIVERGENCE OF FOURIER–WALSH SERIES OF CONTINUOUS FUNCTION Stepan Sargsyan

We prove that for any perfect set P of positive measure, for which 0 is a density point, one can construct a function f (x) continuous on [0, 1) such that each measurable and bounded function, which coincides with f (x) on the set P has diverging Fourier–Walsh series at 0.

DOI: 10.46991/PYSUA.2015.49.2.026 Physical and Mathematical Sciences, 49(2 (237) 26-29

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Keywords

Fourier–Walsh series, continuous function, divergence

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