ON THE DIVERGENCE OF WALSH AND HAAR SERIES BY SECTORIAL AND TRIANGULAR REGIONS

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ON THE DIVERGENCE OF WALSH AND HAAR SERIES BY SECTORIAL AND TRIANGULAR REGIONS G. Karagulyan

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.

DOI: 10.46991/PYSUA.2014.48.2.003 Physical and Mathematical Sciences, 48(2 (234) 3-12

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Keywords

Haar series, Walsh series, divergence of triangular sums, divergence of sectorial sums

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