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 -Rider sets are  -Sidon sets
Author(s):
P.
Lefèvre;
L.
Rodríguez-Piazza
Journal:
Proc. Amer. Math. Soc.
131
(2003),
1829-1838.
MSC (2000):
Primary 43A46
Posted:
October 1, 2002
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Abstract:
The aim of this paper is to prove that for every  , every  -Rider set is a  -Sidon set for all  This gives some positive answers for the union problem of  -Sidon sets. We also obtain some results on the behavior of the Fourier coefficient of a measure with spectrum in a  -Rider set.
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Additional Information:
P.
Lefèvre
Affiliation:
Université d'Artois, Faculté Jean Perrin, rue Jean Souvraz S.P. 18 62307 Lens cedex, France
Email:
lefevre@euler.univ-artois.fr
L.
Rodríguez-Piazza
Affiliation:
Universidad de Sevilla, Faculdad de Matematica, Apdo 1160, 41080 Sevilla, Spain
Email:
piazza@us.es
DOI:
10.1090/S0002-9939-02-06714-X
PII:
S 0002-9939(02)06714-X
Keywords:
$p$-Sidon-ps,
$p$-Rider set,
$q$-Sidon set,
quasi-independent sets,
random Fourier series
Received by editor(s):
June 21, 2001
Received by editor(s) in revised form:
January 24, 2002
Posted:
October 1, 2002
Communicated by:
Andreas Seeger
Copyright of article:
Copyright
2002,
American Mathematical Society
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