Title:
|
Thin sets in trigonometrical series and quasinormal convergence (English) |
Author:
|
Bukovská, Zuzana |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
40 |
Issue:
|
1 |
Year:
|
1990 |
Pages:
|
53-62 |
. |
Category:
|
math |
. |
MSC:
|
42A20 |
MSC:
|
43A46 |
idZBL:
|
Zbl 0733.43003 |
idMR:
|
MR1094972 |
. |
Date available:
|
2009-09-25T10:22:23Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/132180 |
. |
Reference:
|
[1] ARBAULT J.: Sur ľensemble de convergence absolue d'une série trigonométrique.Bull. Soc. Math. France, 80, 1952, 253-317. MR 0055476 |
Reference:
|
[2] БAPИ H. K.: Tpигoнoмeтpичecкиe pяды.Mocквa 1961, English translation: BARY, N. K.: A Treatise on Trigonometrical Series, Vol. I and II, Oxford 1964. |
Reference:
|
[3] BUKOVSKÁ Z.: Quasinormal convergence.to appear. Zbl 0757.40004, MR 1108577 |
Reference:
|
[4] CASSELS J. W. S.: An Introduction to Diophantine Approximation.Cambridge 1965. |
Reference:
|
[5] XOЛЩEBHИKOBA H. H.: O нecчeтныx R- и N-мнoжecтвax.Maт. зaмeтки 38, 1985, 270-277. MR 0808896 |
Reference:
|
[6] CSÁSZÁR Á., LACZKOVICH M.: Discrete and equal convergence.Studia Sci. Math. Hungar., 10, 1975, 463-472. Zbl 0405.26006, MR 0515347 |
Reference:
|
[7] CSÁSZÁR Á., LACZKOVICH M.: Some remarks on discrete Baire classes.Acta Math. Acad. Sci. Hungr., 33, 1979, 51-70. MR 0515120 |
Reference:
|
[8] FREMLIN D.: Consequences of Martin's axiom.Cambridge 1984. Zbl 0551.03033 |
Reference:
|
[9] KÖRNER T. W.: Some results on Kronecker, Dirichlet and Helson sets.Ann. Inst. Fourier (Grenoble) 20, Fasc. 2, 1970, 219-324. Zbl 0196.08403, MR 0284771 |
Reference:
|
[10] HEMЫЦKИЙ B. B.: O нeкoтopыx клaccax линeйныx мнoжecтв в cвязи c aбcoлютнoй cxoдимocтью тpигoнoмeтpичecкиx pядoв.Maт. cбopник 33, 1926, 5-32. |
Reference:
|
[11] RUDIN W.: Real and Complex Analysis.New York 1966. Zbl 0142.01701, MR 0210528 |
. |