| Title:
|
Thin sets defined by a sequence of continuous functions (English) |
| Author:
|
Bukovská, Zuzana |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
49 |
| Issue:
|
3 |
| Year:
|
1999 |
| Pages:
|
323-344 |
| . |
| Category:
|
math |
| . |
| MSC:
|
42A20 |
| MSC:
|
42C15 |
| MSC:
|
43A46 |
| idZBL:
|
Zbl 1032.42009 |
| idMR:
|
MR1728243 |
| . |
| Date available:
|
2009-09-25T11:38:31Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129616 |
| . |
| Reference:
|
[Ar] ARBAULT J.: Sur I'Ensemble de Convergence Absolue d'une Serie Trigonometrique.Bull. Soc. Math. France 80 (1952), 253-317. MR 0055476 |
| Reference:
|
[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 0126115 |
| Reference:
|
[Bu1] BUKOVSKA Z.: Thin sets in trigonometrical series and quasinormal convergence.Math. Slovaca40 (1990), 53-62. Zbl 0733.43003, MR 1094972 |
| Reference:
|
[Bu2] BUKOVSKÁ Z.: Quasinormal convergence.Math. Slovaca 41 (1991), 137 146. Zbl 0757.40004, MR 1108577 |
| Reference:
|
[BB] BUKOVSKÁ Z.-BUKOVSKÝ L.: Adding small sets to an N-set.Proc. Amer. Math. Soc. 123 (1995), 1367-1373. Zbl 0840.03040, MR 1285977 |
| Reference:
|
[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. Zbl 0913.42003, MR 1617080 |
| Reference:
|
[Bk2] BUKOVSKÝ L.: Thin sets of harmonic analysis in a general setting.Tatra Mt. Math. Publ. 14 (1998), 241-260. MR 1651217 |
| Reference:
|
[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 1348075 |
| Reference:
|
[CL] CSÁSZÁR Á.-LACZKOVICH M.: Discrete and equal convergence.Studia Sci. Math. Hungar. 10 (1975), 463-472. Zbl 0405.26006, MR 0515347 |
| Reference:
|
[El] ELIAS P.: A Classification of trigonometrical thin sets and their interrelations.Proc. Amer. Math. Soc. 125 (1997), 1111-1121. Zbl 0871.42007, MR 1363456 |
| Reference:
|
[HMP] HOST B.-MÉLA J.-F.-PARREAU F.: Non singular transformations and spectral analysis of measures.Bull. Soc. Math. France 119 (1991), 33-90. Zbl 0748.43001, MR 1101939 |
| Reference:
|
[Ka] KAHANE S.: Antistable classes of thin sets in harmonic analysis.Illinois J. Math. 37 (1993), 186-223. Zbl 0793.42003, MR 1208819 |
| Reference:
|
[Ma] MARCINKIEWICZ J.: Quelques Théorémes sur les Séries et les Fonctions.Bull. Sém. Math. Univ. Wilno 1 (1938), 19-24. Zbl 0019.29803 |
| Reference:
|
[Sa] SALEM R.: The absolute convergence of trigonometric series.Duke Math. J. 8 (1941), 317-334. MR 0004325 |
| Reference:
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[Za] ZAJÍČEK L.: Porosity and σ-porosity.Real Anal. Exchange 13 (1987-88), 314-350. MR 0943561 |
| Reference:
|
[Zy] ZYGMUND A.: Trigonometric Series Vol. 1.Cambridge University Press, Cambridge, 1959. Zbl 0085.05601, MR 0107776 |
| . |
