Geodesic
Thin sets defined by a sequence of continuous functions
Mathematica slovaca, Tome 49 (1999) no. 3, pp. 323-344
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Classification : 42A20, 42C15, 43A46 
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Bukovská, Zuzana. Thin sets defined by a sequence of continuous functions. Mathematica slovaca, Tome 49 (1999) no. 3, pp. 323-344. http://geodesic.mathdoc.fr/item/MASLO_1999_49_3_a9/

[Ar] ARBAULT J.: Sur I'Ensemble de Convergence Absolue d'une Serie Trigonometrique. Bull. Soc. Math. France 80 (1952), 253-317. | MR

[Ba] BARY N. K.: Trigonometricheskie ryady. Gos. Izd. Fiz.-Mat. Lit., Moskva, 1961 [English translation: A Treatise on Trigonometric Series, Pergamon Press, Oxford-London-New York-Paris-Frankfurt, 1964]. (Russian) | MR

[Bu1] BUKOVSKA Z.: Thin sets in trigonometrical series and quasinormal convergence. Math. Slovaca40 (1990), 53-62. | MR | Zbl

[Bu2] BUKOVSKÁ Z.: Quasinormal convergence. Math. Slovaca 41 (1991), 137 146. | MR | Zbl

[BB] BUKOVSKÁ Z.-BUKOVSKÝ L.: Adding small sets to an N-set. Proc. Amer. Math. Soc. 123 (1995), 1367-1373. | MR | Zbl

[Bk1] BUKOVSKÝ L.: Trigonometric thin sets and $\gamma$-set. In: Topology Atlas, http://www.unipissing.ca/topology/p/p/a/a/OO.htm, 1997, pp. 22-25. | MR | Zbl

[Bk2] BUKOVSKÝ L.: Thin sets of harmonic analysis in a general setting. Tatra Mt. Math. Publ. 14 (1998), 241-260. | MR

[BKR] BUKOVSKÝ L.-KHOLSHCHEVNIKOVA N. N.-REPICKÝ M.: Thin sets of harmonic analysis and infinite combinatorics. Real Anal. Exchange 20 (1994-95), 454-509. | MR

[CL] CSÁSZÁR Á.-LACZKOVICH M.: Discrete and equal convergence. Studia Sci. Math. Hungar. 10 (1975), 463-472. | MR | Zbl

[El] ELIAS P.: A Classification of trigonometrical thin sets and their interrelations. Proc. Amer. Math. Soc. 125 (1997), 1111-1121. | MR | Zbl

[HMP] HOST B.-MÉLA J.-F.-PARREAU F.: Non singular transformations and spectral analysis of measures. Bull. Soc. Math. France 119 (1991), 33-90. | MR | Zbl

[Ka] KAHANE S.: Antistable classes of thin sets in harmonic analysis. Illinois J. Math. 37 (1993), 186-223. | MR | Zbl

[Ma] MARCINKIEWICZ J.: Quelques Théorémes sur les Séries et les Fonctions. Bull. Sém. Math. Univ. Wilno 1 (1938), 19-24. | Zbl

[Sa] SALEM R.: The absolute convergence of trigonometric series. Duke Math. J. 8 (1941), 317-334. | MR

[Za] ZAJÍČEK L.: Porosity and σ-porosity. Real Anal. Exchange 13 (1987-88), 314-350. | MR

[Zy] ZYGMUND A.: Trigonometric Series Vol. 1. Cambridge University Press, Cambridge, 1959. | MR | Zbl