This article is cited in 6 papers

Uniqueness Theorems for Generalized Haar Systems

G. G. Gevorkyan, K. A. Navasardyan

Yerevan State University

Abstract: A uniqueness theorem and a recovery theorem for the coefficients of series in generalized Haar systems are proved under the assumption that the series converge in measure and satisfy a certain necessary condition on the distribution function of the majorant of partial sums.

Keywords: generalized Haar system, Fourier series, $A$-integral, uniqueness theorem.

UDC: 517.51

Received: 22.03.2017
Revised: 06.07.2017

DOI: 10.4213/mzm11598

 English version: Mathematical Notes, 2018, 104:1, 10–21

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