ArticleOriginal scientific text

Title

On the complexity of H sets of the unit circle

Authors 1

Affiliations

  1. Équipe d'Analyse, Université Paris VI, Boîte 186, 4, Place Jussieu, 75252 Paris Cedex 05, France

Bibliography

  1. N. Bary, A Treatise on Trigonometric Series, MacMillan, New York, 1964.
  2. N. Bary, Sur l'unicité du développement trigonométrique, Fund. Math. 9 (1927), 62-115.
  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.
  4. J. P. Kahane et R. Salem, Ensembles parfaits et séries trigonométriques, Hermann, Paris, 1963.
  5. R. Kaufman, A functional method for linear sets, Israel J. Math. 5 (1967), 185-187.
  6. R. Kaufman, Absolutely convergent Fourier series and some classes of sets, Bull. Sci. Math. 109 (1985), 363-372.
  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. T. Linton, The H-sets in the unit circle are properly Gδσ, Real Anal. Exchange, to appear.
  9. N. Lusin, Les ensembles analytiques, Chelsea, New York, 1972.
  10. R. Lyons, A new type of sets of uniqueness, Duke Math. J. 57 (1988), 431-458.
Pages:
1-5
Main language of publication
English
Received
1994-02-22
Published
1996
Exact and natural sciences