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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
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Category: math
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MSC: 42A20
MSC: 43A46
idZBL: Zbl 0733.43003
idMR: MR1094972
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Date available: 2009-09-25T10:22:23Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/132180
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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
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