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

G.A. Karagulyan; K.R. Muradyan

doi:10.46991/PSYU:A/2014.48.2.003

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

Authors

G.A. Karagulyan Chair of Mathematical Analysis and Theory of Functions, YSU, Institute of Mathematics NAS, Republic of Armenia
K.R. Muradyan Institute of Mathematics NAS, Republic of Armenia

DOI:

https://doi.org/10.46991/PSYU:A/2014.48.2.003

Keywords:

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

Abstract

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.

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Published

2014-07-10

How to Cite

Karagulyan, G., & Muradyan, K. (2014). ON THE DIVERGENCE OF WALSH AND HAAR SERIES BY SECTORIAL AND TRIANGULAR REGIONS. Proceedings of the YSU A: Physical and Mathematical Sciences, 48(2 (234), 3–12. https://doi.org/10.46991/PSYU:A/2014.48.2.003