We investigate when the trigonometric conjugate to the periodic general Franklin system is a basis in C(𝕋). For this, we find some necessary and some sufficient conditions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm193-3-1,
author = {Gegham G. Gevorkyan and Anna Kamont},
title = {On the trigonometric conjugate to the general Franklin system},
journal = {Studia Mathematica},
volume = {192},
year = {2009},
pages = {203-239},
zbl = {1170.42012},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm193-3-1}
}
Gegham G. Gevorkyan; Anna Kamont. On the trigonometric conjugate to the general Franklin system. Studia Mathematica, Tome 192 (2009) pp. 203-239. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm193-3-1/