Thin sets defined by a sequence of continuous functions

Zuzana Bukovská

Mathematica Slovaca (1999)

  • Volume: 49, Issue: 3, page 323-344
  • ISSN: 0139-9918

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Bukovská, Zuzana. "Thin sets defined by a sequence of continuous functions." Mathematica Slovaca 49.3 (1999): 323-344. <http://eudml.org/doc/31868>.

@article{Bukovská1999,
author = {Bukovská, Zuzana},
journal = {Mathematica Slovaca},
keywords = {trigonometric thin set; Borel basis; permitted set; well distributed sequence; Salem theorem; Arbault-Erdős theorem},
language = {eng},
number = {3},
pages = {323-344},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Thin sets defined by a sequence of continuous functions},
url = {http://eudml.org/doc/31868},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Bukovská, Zuzana
TI - Thin sets defined by a sequence of continuous functions
JO - Mathematica Slovaca
PY - 1999
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 49
IS - 3
SP - 323
EP - 344
LA - eng
KW - trigonometric thin set; Borel basis; permitted set; well distributed sequence; Salem theorem; Arbault-Erdős theorem
UR - http://eudml.org/doc/31868
ER -

References

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  6. BUKOVSKÝ L., Trigonometric thin sets and γ -set, In: Topology Atlas, http://www.unipissing.ca/topology/p/p/a/a/OO.htm, 1997, pp. 22-25. (1997) Zbl0913.42003MR1617080
  7. BUKOVSKÝ L., Thin sets of harmonic analysis in a general setting, Tatra Mt. Math. Publ. 14 (1998), 241-260. (1998) MR1651217
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  9. CSÁSZÁR Á.-LACZKOVICH M., Discrete and equal convergence, Studia Sci. Math. Hungar. 10 (1975), 463-472. (1975) Zbl0405.26006MR0515347
  10. ELIAS P., A Classification of trigonometrical thin sets and their interrelations, Proc. Amer. Math. Soc. 125 (1997), 1111-1121. (1997) Zbl0871.42007MR1363456
  11. HOST B.-MÉLA J.-F.-PARREAU F., Non singular transformations and spectral analysis of measures, Bull. Soc. Math. France 119 (1991), 33-90. (1991) Zbl0748.43001MR1101939
  12. KAHANE S., Antistable classes of thin sets in harmonic analysis, Illinois J. Math. 37 (1993), 186-223. (1993) Zbl0793.42003MR1208819
  13. MARCINKIEWICZ J., Quelques Théorémes sur les Séries et les Fonctions, Bull. Sém. Math. Univ. Wilno 1 (1938), 19-24. (1938) Zbl0019.29803
  14. SALEM R., The absolute convergence of trigonometric series, Duke Math. J. 8 (1941), 317-334. (1941) MR0004325
  15. ZAJÍČEK L., Porosity and σ-porosity, Real Anal. Exchange 13 (1987-88), 314-350. (1987) MR0943561
  16. ZYGMUND A., Trigonometric Series Vol. 1, Cambridge University Press, Cambridge, 1959. (1959) Zbl0085.05601MR0107776

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