| Title:
|
Topological results on sequences $\{n_k x\}^\infty_{k=1}$ and their applications in the theory of trigonometric series (English) |
| Author:
|
Bukovská, Z. |
| Author:
|
Šalát, T. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
43 |
| Issue:
|
1 |
| Year:
|
1993 |
| Pages:
|
115-123 |
| . |
| Category:
|
math |
| . |
| MSC:
|
40J05 |
| MSC:
|
42A16 |
| idZBL:
|
Zbl 0924.40006 |
| idMR:
|
MR1205235 |
| DOI:
|
10.21136/CMJ.1993.128387 |
| . |
| Date available:
|
2009-09-24T09:27:54Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128387 |
| . |
| Reference:
|
[1] N.K. Bari: Trigonometric series.Gos. Izd. Fiz.-Mat. Lit., Moskva, 1961. (Russian) MR 0126115 |
| Reference:
|
[2] B. K. Bel’nov: Some Theorems on distribution of fractional parts.Sibirsk. Mat. Ž. 18 (1977), 512–521. (Russian) MR 0453660 |
| Reference:
|
[3] Z. Bukovská: Thin sets in trigonometrical series and quasinormal convergence.Math. Slov. 40 (1990), 53–62. MR 1094972 |
| Reference:
|
[4] G.H. Hardy, J.E. Littlewood: Some problems on diophantine approximation.Acta Math. 37 (1913), 155–239. 10.1007/BF02401833 |
| Reference:
|
[5] S. Kahane: Ideaux de compacts et applications a l’analyse harmonique.Thèse de doctorat, Paris, 1990. |
| Reference:
|
[6] L. Kuipers – H. Niederreiter: Uniform Distribution of Sequences.John Wiley, New York-London-Sydney-Toronto, 1974. MR 0419394 |
| Reference:
|
[7] C. Kuratowski: Topologie I..PWN, Warszawa, 1958. |
| Reference:
|
[8] Th. E. Mott: Some generalizations of the Cantor-Lebesgue theorem.Math. Ann. 152 (1963), 95–119. Zbl 0119.28902, MR 0158045, 10.1007/BF01344001 |
| Reference:
|
[9] W. Orlicz: Une generalisation d’un thèoreme de Cantor-Lebesgue.Ann. Soc. Pol. Math. 21 (1948), 38–45. Zbl 0032.19902, MR 0026149 |
| Reference:
|
[10] I.P. Natanson: Theory of functions of real variable.Nauka, Moskva, 1974. (Russian) MR 0354979 |
| Reference:
|
[11] W.H. Young: A note on trigonometrical series.Messenger of Math. 38 (1909), 44–48. |
| . |
