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/