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Summability of Fourier series with the method of lacunary arithmetical means at the Lebesgue points
Author(s):
E.
S.
Belinsky
Journal:
Proc. Amer. Math. Soc.
125
(1997),
3689-3693.
MSC (1991):
Primary 42A16, 42A24
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Abstract:
The existence of the `rare' sequence of partial sums summable with the method of arithmetical means at each Lebesgue point is proved in the paper. The proof is based on the strategy of random choice.
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- Carleson, L., Appendix to the paper by J.-P. Kahane and Y. Katznelson Series de Fourier des fonctions bornees, Studies in pure mathematics, Birkhauser, Basel-Boston, Mass., 1983, pp. 395-413. MR 87c:42006
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Additional Information:
E.
S.
Belinsky
Affiliation:
Department of Mathematics, University of Zimbabwe, PO Box MP 167, Mount Pleasant, Harare, Zimbabwe
Email:
belinsky@maths.uz.zw
DOI:
10.1090/S0002-9939-97-04153-1
PII:
S 0002-9939(97)04153-1
Keywords:
Fourier series,
Lebesgue points
Received by editor(s):
July 30, 1996
Communicated by:
Christopher D. Sogge
Copyright of article:
Copyright
1997,
American Mathematical Society
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