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.
@article{MZM_2018_104_1_a1,
author = {G. G. Gevorkyan and K. A. Navasardyan},
title = {Uniqueness {Theorems} for {Generalized} {Haar} {Systems}},
journal = {Matemati\v{c}eskie zametki},
pages = {11--24},
publisher = {mathdoc},
volume = {104},
number = {1},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2018_104_1_a1/}
}
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/