| Title:
|
130 let divergentních trigonometrických Fourierových řad (2. část) (Czech) |
| Title:
|
130 years of the divergent trigonometric Fourier series (Part 2) (English) |
| Author:
|
Štěpánek, František |
| Language:
|
Czech |
| Journal:
|
Pokroky matematiky, fyziky a astronomie |
| ISSN:
|
0032-2423 |
| Volume:
|
49 |
| Issue:
|
2 |
| Year:
|
2004 |
| Pages:
|
122-128 |
| . |
| Category:
|
math |
| . |
| Keyword:
|
Fourier series |
| Keyword:
|
divergence |
| Keyword:
|
convergence |
| MSC:
|
01A60 |
| MSC:
|
42A20 |
| MSC:
|
42A24 |
| idZBL:
|
Zbl 1265.01011 |
| . |
| Date available:
|
2010-12-11T20:26:16Z |
| Last updated:
|
2015-11-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140852 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/140851 |
| . |
| Reference:
|
[33] Choquet, G.: Spojité, diskrétní a ... všechno ostatní.48 (2003), 158–168. |
| Reference:
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[34] Katětov, M.: N. N. Luzin a teorie reálných funkcí.20 (1975) 137–145. |
| Reference:
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[35] Kuratowski, K.: A half century of Polish mathematics.PWN, Warszawa and Pergamon Press, Oxford 1980. Zbl 0438.01006, MR 0565253 |
| Reference:
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[36] Luzin, N. N.: Integral i trigonometričeskij rjad.Gos. izdatělstvo tech.-teor. litěratury, Moskva-Leningrad 1951. MR 0048364 |
| Reference:
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[37] Uljanov, P. L.: A. N. Kolmogorov i raschodjaščijesja rjady Furje.Uspěchi matem. nauk 38 (1983), 51–90. MR 0710114 |
| Reference:
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[38] Edwards, R. E.: Fourier series, Vol. I + Vol. II.Holt, Rinehart and Winston, New York 1967. |
| Reference:
|
[39] Lasser, R.: Introduction to Fourier series.Marcel Dekker, New York 1996. Zbl 0848.42001, MR 1379801 |
| Reference:
|
[40] Zygmund, A.: Trigonometrical series.Monografje matematyczne Tom V, Warszawa–Lwów 1935. (Citace podle ruského překladu: Trigonometričeskije rjady. Izdatělstvo MIR, Moskva 1965.) Zbl 0011.01703 |
| Reference:
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[41] Jorsboe, O. G., Mejlboro, L.: The Carleson-Hunt theorem on Fourier series.Lecture Notes in Math. 911, Springer-Verlag, Berlin 1982. MR 0653477 |
| Reference:
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[42] Štěpánek, F.: Teorie aproximací I. (Základy teorie limitovacích metod).SPN, Praha 1979. |
| Reference:
|
[43] Kahane, J.-P.: Sur la divergence presque sûre presque partout de certaines séries de Fourier aléatoires.Annales Universitatis Scientiarum Budapestinensis, Sectio Mathematica, 3–4 (1960–1961), 101–108. MR 0132961 |
| Reference:
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[44] Konyagin, S. V.: On everywhere divergence of trigonometric Fourier series.Sborník: Mathematics 191 (2000), 97–120. Zbl 0967.42004, MR 1753494 |
| Reference:
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[45] Körner, T. W.: Sets of divergence for Fourier series.Bull. London Math. Soc. 3 (1971), 152–154. MR 0290022, 10.1112/blms/3.2.152 |
| Reference:
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[46] Körner, T. W.: Everywhere divergent Fourier series.Colloq. Math. 45 (1981), 103–118. MR 0652607 |
| Reference:
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[47] Lusin, N. N.: Sur la convergence des séries trigonométriques de Fourier.Comptes Rendus Acad. Sci. Paris 156 (1913), 1655–1658. |
| Reference:
|
[48] Prestini, E.: On the two proofs of pointwise convergence of Fourier series.Amer. J. Math. 104 (1982), 127–139. Zbl 0499.42003, MR 0648483, 10.2307/2374070 |
| Reference:
|
[49] Zygmund, A.: On certain lemmas of Marcinkiewicz and Carleson.J. Approx. Theory 2 (1969), 249–257. Zbl 0175.35303, MR 0261408 |
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