Sidon sets and Riesz sets for some measure algebras on the disk
Colloquium Mathematicum, Tome 72 (1997) no. 2, pp. 269-279
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.
Keywords:
disk polynomials, bivariate polynomials, Riesz sets, hypergroups, Sidon sets
@article{10_4064_cm_72_2_269_279,
author = {Olivier Gebuhrer and Alan Schwartz},
title = {Sidon sets and {Riesz} sets for some measure algebras on the disk},
journal = {Colloquium Mathematicum},
pages = {269--279},
year = {1997},
volume = {72},
number = {2},
doi = {10.4064/cm-72-2-269-279},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-72-2-269-279/}
}
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Olivier Gebuhrer; Alan Schwartz. Sidon sets and Riesz sets for some measure algebras on the disk. Colloquium Mathematicum, Tome 72 (1997) no. 2, pp. 269-279. doi: 10.4064/cm-72-2-269-279
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