Uniqueness Theorems for Generalized Haar Systems
Matematičeskie zametki, Tome 104 (2018) no. 1, pp. 11-24

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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.
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     author = {G. G. Gevorkyan and K. A. Navasardyan},
     title = {Uniqueness {Theorems} for {Generalized} {Haar} {Systems}},
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     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_104_1_a1/}
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G. G. Gevorkyan; K. A. Navasardyan. Uniqueness Theorems for Generalized Haar Systems. Matematičeskie zametki, Tome 104 (2018) no. 1, pp. 11-24. http://geodesic.mathdoc.fr/item/MZM_2018_104_1_a1/