Topological results on sequences { n k x } k = 1 ∞ and their applications in the theory of trigonometric series

Zuzana Bukovská; Tibor Šalát

Czechoslovak Mathematical Journal (1993)

  • Volume: 43, Issue: 1, page 115-123
  • ISSN: 0011-4642

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Bukovská, Zuzana, and Šalát, Tibor. "Topological results on sequences $\lbrace n_k x\rbrace ^\infty _{k=1}$ and their applications in the theory of trigonometric series." Czechoslovak Mathematical Journal 43.1 (1993): 115-123. <http://eudml.org/doc/31334>.

@article{Bukovská1993,
author = {Bukovská, Zuzana, Šalát, Tibor},
journal = {Czechoslovak Mathematical Journal},
keywords = {trigonometric series; metric space; sequence of real numbers; limit points; theorem of Cantor and Lebesgue},
language = {eng},
number = {1},
pages = {115-123},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Topological results on sequences $\lbrace n_k x\rbrace ^\infty _\{k=1\}$ and their applications in the theory of trigonometric series},
url = {http://eudml.org/doc/31334},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Bukovská, Zuzana
AU - Šalát, Tibor
TI - Topological results on sequences $\lbrace n_k x\rbrace ^\infty _{k=1}$ and their applications in the theory of trigonometric series
JO - Czechoslovak Mathematical Journal
PY - 1993
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 43
IS - 1
SP - 115
EP - 123
LA - eng
KW - trigonometric series; metric space; sequence of real numbers; limit points; theorem of Cantor and Lebesgue
UR - http://eudml.org/doc/31334
ER -

References

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  2. Some Theorems on distribution of fractional parts, Sibirsk. Mat. Ž. 18 (1977), 512–521. (Russian) (1977) MR0453660
  3. Thin sets in trigonometrical series and quasinormal convergence, Math. Slov. 40 (1990), 53–62. (1990) MR1094972
  4. 10.1007/BF02401833, Acta Math. 37 (1913), 155–239. (1913) DOI10.1007/BF02401833
  5. Ideaux de compacts et applications a l’analyse harmonique, Thèse de doctorat, Paris, 1990. (1990) 
  6. Uniform Distribution of Sequences, John Wiley, New York-London-Sydney-Toronto, 1974. (1974) MR0419394
  7. Topologie I., PWN, Warszawa, 1958. (1958) 
  8. 10.1007/BF01344001, Math. Ann. 152 (1963), 95–119. (1963) Zbl0119.28902MR0158045DOI10.1007/BF01344001
  9. Une generalisation d’un thèoreme de Cantor-Lebesgue, Ann. Soc. Pol. Math. 21 (1948), 38–45. (1948) Zbl0032.19902MR0026149
  10. Theory of functions of real variable, Nauka, Moskva, 1974. (Russian) (1974) MR0354979
  11. A note on trigonometrical series, Messenger of Math. 38 (1909), 44–48. (1909) 

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