In this work, we study the problem of constructing Haar bases on a product of arbitrary compact zero-dimensional Abelian groups. A general scheme for the construction of Haar functions is given for arbitrary dimension. For dimension d=2, we describe all Haar functions.
@article{bwmeta1.element.doi-10_2478_s11533-011-0012-4,
author = {Sergei Lukomskii},
title = {Haar system on a product of zero-dimensional compact groups},
journal = {Open Mathematics},
volume = {9},
year = {2011},
pages = {627-639},
zbl = {1238.43004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0012-4}
}
Sergei Lukomskii. Haar system on a product of zero-dimensional compact groups. Open Mathematics, Tome 9 (2011) pp. 627-639. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0012-4/
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