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A classification of trigonometrical thin sets and their interrelations
Author(s):
Peter
Elias
Journal:
Proc. Amer. Math. Soc.
125
(1997),
1111-1121.
MSC (1991):
Primary 42A28;
Secondary 04A20
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Abstract:
We introduce a uniform way of classifying thin sets of harmonic analysis related to absolute convergence of trigonometric series. This classification covers classical classes  and yields two new ones ( and  . We study interrelation between these classes concerning combinatorial structure of thin sets.
References:
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- P. Elias, Systemization of classes of thin sets related to the absolute convergence of trigonometric series (in Slovak), Master thesis, Univerzita P. J. Safárika, Kosice, 1993.
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Additional Information:
Peter
Elias
Affiliation:
Matematický ústav SAV, Jesenná 5, 041 54 Kosice, Slovakia
Email:
elias@duro.upjs.sk
DOI:
10.1090/S0002-9939-97-03661-7
PII:
S 0002-9939(97)03661-7
Received by editor(s):
June 8, 1995
Received by editor(s) in revised form:
October 11, 1995
Additional Notes:
This work was supported by grant 2/1224/94 of Slovak Grant Agency.
Communicated by:
Andreas R. Blass
Copyright of article:
Copyright
1997,
American Mathematical Society
Forward Citation(s): Information for authors on submitting citations The following works have cited this article P. Elias, A hierarchy of thin sets related to the boundedness of trigonometric series, Proc. Amer. Math. Soc. 128 (2000), 3341-3347. MR MR 2001g:43007
P. Elias, Covering for category and trigonometric thin sets, Proc. Amer. Math. Soc. 131 (2003), 3241-3249. MR MR 2004d:03102
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