Thin sets in trigonometrical series and quasinormal convergence

Zuzana Bukovská

Mathematica Slovaca (1990)

  • Volume: 40, Issue: 1, page 53-62
  • ISSN: 0232-0525

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Bukovská, Zuzana. "Thin sets in trigonometrical series and quasinormal convergence." Mathematica Slovaca 40.1 (1990): 53-62. <http://eudml.org/doc/32258>.

@article{Bukovská1990,
author = {Bukovská, Zuzana},
journal = {Mathematica Slovaca},
keywords = {trigonometric series; Dirichlet sets; quasi-normal convergence; D-set; continuum hypothesis; thinness; Fourier series},
language = {eng},
number = {1},
pages = {53-62},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Thin sets in trigonometrical series and quasinormal convergence},
url = {http://eudml.org/doc/32258},
volume = {40},
year = {1990},
}

TY - JOUR
AU - Bukovská, Zuzana
TI - Thin sets in trigonometrical series and quasinormal convergence
JO - Mathematica Slovaca
PY - 1990
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 40
IS - 1
SP - 53
EP - 62
LA - eng
KW - trigonometric series; Dirichlet sets; quasi-normal convergence; D-set; continuum hypothesis; thinness; Fourier series
UR - http://eudml.org/doc/32258
ER -

References

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  1. ARBAULT J., Sur ľensemble de convergence absolue d'une série trigonométrique, Bull. Soc. Math. France, 80, 1952, 253-317. (1952) MR0055476
  2. БAPИ H. K., Tpигoнoмeтpичecкиe pяды, Mocквa 1961, English translation: BARY, N. K.: A Treatise on Trigonometrical Series, Vol. I and II, Oxford 1964. (1961) 
  3. BUKOVSKÁ Z., Quasinormal convergence, to appear. Zbl0757.40004MR1108577
  4. CASSELS J. W. S., An Introduction to Diophantine Approximation, Cambridge 1965. (1965) 
  5. XOЛЩEBHИKOBA H. H., O нecчeтныx R- и N-мнoжecтвax, Maт. зaмeтки 38, 1985, 270-277. (1985) MR0808896
  6. CSÁSZÁR Á., LACZKOVICH M., Discrete and equal convergence, Studia Sci. Math. Hungar., 10, 1975, 463-472. (1975) Zbl0405.26006MR0515347
  7. CSÁSZÁR Á., LACZKOVICH M., Some remarks on discrete Baire classes, Acta Math. Acad. Sci. Hungr., 33, 1979, 51-70. (1979) MR0515120
  8. FREMLIN D., Consequences of Martin's axiom, Cambridge 1984. (1984) Zbl0551.03033
  9. KÖRNER T. W., Some results on Kronecker, Dirichlet and Helson sets, Ann. Inst. Fourier (Grenoble) 20, Fasc. 2, 1970, 219-324. (1970) Zbl0196.08403MR0284771
  10. HEMЫЦKИЙ B. B., O нeкoтopыx клaccax линeйныx мнoжecтв в cвязи c aбcoлютнoй cxoдимocтью тpигoнoмeтpичecкиx pядoв, Maт. cбopник 33, 1926, 5-32. (1926) 
  11. RUDIN W., Real and Complex Analysis, New York 1966. (1966) Zbl0142.01701MR0210528

Citations in EuDML Documents

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  1. Tamás Keleti, Periodic L i p α functions with L i p β difference functions
  2. Zuzana Bukovská, Quasinormal convergence
  3. Zuzana Bukovská, Tibor Šalát, Topological results on sequences { n k x } k = 1 ∞ and their applications in the theory of trigonometric series
  4. Miroslav Repický, Permitted trigonometric thin sets and infinite combinatorics
  5. Zuzana Bukovská, Thin sets defined by a sequence of continuous functions
  6. Pratulananda Das, Debraj Chandra, Spaces not distinguishing pointwise and ℐ -quasinormal convergence

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