Differentiation with respect to nets and the Haar series
Matematičeskie zametki, Tome 4 (1968) no. 1, pp. 33-40
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We set out the connection between convergence of the Haar series and differentiation with respect to nets of a function. This connection allows us to give a new proof of certain earlier theorems on Haar series, and also to prove a number of new generalizations.
@article{MZM_1968_4_1_a3,
author = {V. A. Skvortsov},
title = {Differentiation with respect to nets and the {Haar} series},
journal = {Matemati\v{c}eskie zametki},
pages = {33--40},
publisher = {mathdoc},
volume = {4},
number = {1},
year = {1968},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_1_a3/}
}
V. A. Skvortsov. Differentiation with respect to nets and the Haar series. Matematičeskie zametki, Tome 4 (1968) no. 1, pp. 33-40. http://geodesic.mathdoc.fr/item/MZM_1968_4_1_a3/