Relationships between families of thin sets

Zuzana Bukovská

Mathematica Slovaca (2003)

  • Volume: 53, Issue: 4, page 385-391
  • ISSN: 0232-0525

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Bukovská, Zuzana. "Relationships between families of thin sets." Mathematica Slovaca 53.4 (2003): 385-391. <http://eudml.org/doc/31751>.

@article{Bukovská2003,
author = {Bukovská, Zuzana},
journal = {Mathematica Slovaca},
keywords = {trigonometric thin set; family of thin sets; topological group},
language = {eng},
number = {4},
pages = {385-391},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Relationships between families of thin sets},
url = {http://eudml.org/doc/31751},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Bukovská, Zuzana
TI - Relationships between families of thin sets
JO - Mathematica Slovaca
PY - 2003
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 53
IS - 4
SP - 385
EP - 391
LA - eng
KW - trigonometric thin set; family of thin sets; topological group
UR - http://eudml.org/doc/31751
ER -

References

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  1. BARY N. K., Trigonometricheskie ryady, Gos. izd. fiz.-mat. lit., Moskva, 1961 (Russian) [English translation: A Treatise on Trigonometric Series, Macmillan, New York, 1964]. (1961) MR0126115
  2. BUKOVSKÁ Z., Thin sets defined by a sequence of continuous functions, Math. Slovaca 49 (1999), 323-344. (1999) Zbl1032.42009MR1728243
  3. BUKOVSKÁ Z.-BUKOVSKÝ L., Comparing families of thin sets, Real Anal. Exchange 27 (2001/2002), 609-625. Zbl1047.43010MR1922672
  4. BUKOVSKÝ L., Thin sets in a general setting, Tatra Mt. Math. Publ. 14 (1998), 241-260. (1998) Zbl0940.03057MR1651217
  5. ELIAŠ P., A classification of trigonometrical thin sets and their interrelations, Proc. Amer. Math. Soc. 125 (1997), 1111-1121. (1997) Zbl0871.42007MR1363456
  6. HOST B.-MÉLA J.-F.-PARREAU F., Non singular transformations and spectral analysis of measure, Bull. Soc. Math. France 119 (1991), 33-90. (1991) MR1101939
  7. KAHANE J.-P., Séries de Fourier absolument convergentes, Springer-Verlag, Berlin, 1970. (1970) Zbl0195.07602MR0275043
  8. RUDIN W., Functional Analysis, McGraw-Hill Book Company, New York, 1973. (1973) Zbl0253.46001MR0365062
  9. RUDIN W., Real and Complex Analysis, McGraw-Hill Book Company, New York, 1966. (1966) Zbl0142.01701MR0210528
  10. STEINHAUS H., A new property of Cantor's set, Wektor 7 (1917). (Polish) (1917) 
  11. ZYGMUND A., Trigonometric Series I, II, Cambridge University Press, Cambridge, 1959. (1959) MR0107776

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