# Topological results on sequences ${\left\{{n}_{k}x\right\}}_{k=1}^{\infty}$ and their applications in the theory of trigonometric series

Czechoslovak Mathematical Journal (1993)

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

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topBukovská, 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

top- Trigonometric series, Gos. Izd. Fiz.-Mat. Lit., Moskva, 1961. (Russian) (1961) MR0126115
- Some Theorems on distribution of fractional parts, Sibirsk. Mat. Ž. 18 (1977), 512–521. (Russian) (1977) MR0453660
- Thin sets in trigonometrical series and quasinormal convergence, Math. Slov. 40 (1990), 53–62. (1990) MR1094972
- 10.1007/BF02401833, Acta Math. 37 (1913), 155–239. (1913) DOI10.1007/BF02401833
- Ideaux de compacts et applications a l’analyse harmonique, Thèse de doctorat, Paris, 1990. (1990)
- Uniform Distribution of Sequences, John Wiley, New York-London-Sydney-Toronto, 1974. (1974) MR0419394
- Topologie I., PWN, Warszawa, 1958. (1958)
- 10.1007/BF01344001, Math. Ann. 152 (1963), 95–119. (1963) Zbl0119.28902MR0158045DOI10.1007/BF01344001
- Une generalisation d’un thèoreme de Cantor-Lebesgue, Ann. Soc. Pol. Math. 21 (1948), 38–45. (1948) Zbl0032.19902MR0026149
- Theory of functions of real variable, Nauka, Moskva, 1974. (Russian) (1974) MR0354979
- A note on trigonometrical series, Messenger of Math. 38 (1909), 44–48. (1909)

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