On the complexity of H sets of the unit circle

Etienne Matheron

Colloquium Mathematicae (1996)

  • Volume: 70, Issue: 1, page 1-5
  • ISSN: 0010-1354

How to cite

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Matheron, Etienne. "On the complexity of H sets of the unit circle." Colloquium Mathematicae 70.1 (1996): 1-5. <http://eudml.org/doc/210393>.

@article{Matheron1996,
author = {Matheron, Etienne},
journal = {Colloquium Mathematicae},
keywords = {-set; -set; Banach algebra; complex valued functions; Fourier series; distributions; pseudofunctions; Polish space},
language = {eng},
number = {1},
pages = {1-5},
title = {On the complexity of H sets of the unit circle},
url = {http://eudml.org/doc/210393},
volume = {70},
year = {1996},
}

TY - JOUR
AU - Matheron, Etienne
TI - On the complexity of H sets of the unit circle
JO - Colloquium Mathematicae
PY - 1996
VL - 70
IS - 1
SP - 1
EP - 5
LA - eng
KW - -set; -set; Banach algebra; complex valued functions; Fourier series; distributions; pseudofunctions; Polish space
UR - http://eudml.org/doc/210393
ER -

References

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  1. [1] N. Bary, A Treatise on Trigonometric Series, MacMillan, New York, 1964. Zbl0129.28002
  2. [2] N. Bary, Sur l'unicité du développement trigonométrique, Fund. Math. 9 (1927), 62-115. Zbl53.0261.01
  3. [3] G. Debs et J. Saint Raymond, Ensembles d'unicité et d'unicité au sens large, Ann. Inst. Fourier (Grenoble) 37 (3) (1987), 217-239. Zbl0618.42004
  4. [4] J. P. Kahane et R. Salem, Ensembles parfaits et séries trigonométriques, Hermann, Paris, 1963. Zbl0112.29304
  5. [5] R. Kaufman, A functional method for linear sets, Israel J. Math. 5 (1967), 185-187. Zbl0156.37403
  6. [6] R. Kaufman, Absolutely convergent Fourier series and some classes of sets, Bull. Sci. Math. 109 (1985), 363-372. Zbl0608.42007
  7. [7] A. Kechris and A. Louveau, Descriptive Set Theory and the Structure of Sets of Uniqueness, London Math. Soc. Lecture Note Ser. 128, Cambridge Univ. Press, 1987. 
  8. [8] T. Linton, The H-sets in the unit circle are properly G δ σ , Real Anal. Exchange, to appear. 
  9. [9] N. Lusin, Les ensembles analytiques, Chelsea, New York, 1972. 
  10. [10] R. Lyons, A new type of sets of uniqueness, Duke Math. J. 57 (1988), 431-458. Zbl0677.42006

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