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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2013 Volume 54, Number 6, Pages 1331–1336 (Mi smj2499)
Peculiarities of the partial Fourier–Haar sum behavior at dyadic irrational discontinuity points

M. G. Magomed-Kasumovab

a Daghestan Scientific Centre of the Russian Academy of Sciences, Makhachkala, Russia
b South Mathematical Institute of VSC RAS, Vladikavkaz, Russia

Abstract: We obtain an exact description for the behavior of Fourier-Haar sums at dyadic irrational discontinuity points for functions of bounded variation.

Keywords: Haar system, convergence of the Haar series at a point.

UDC: 517.521

Received: 20.08.2012
Revised: 05.08.2013


 English version: Siberian Mathematical Journal, 2013, 54:6, 1059–1063

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© Steklov Math. Inst. of RAS, 2026