Sidon sets for the disk polynomial measure algebra (the continuous disk polynomial hypergroup) are described completely in terms of classical Sidon sets for the circle; an analogue of the F. and M. Riesz theorem is also proved.
@article{bwmeta1.element.bwnjournal-article-cmv72i2p269bwm,
author = {Olivier Gebuhrer and Alan Schwartz},
title = {Sidon sets and Riesz sets for some measure algebras on the disk},
journal = {Colloquium Mathematicae},
volume = {72},
year = {1997},
pages = {269-279},
zbl = {0868.43006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv72i2p269bwm}
}
Gebuhrer, Olivier; Schwartz, Alan. Sidon sets and Riesz sets for some measure algebras on the disk. Colloquium Mathematicae, Tome 72 (1997) pp. 269-279. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv72i2p269bwm/
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