Approximation diophantienne et ensembles lacunaires

Jean-François Méla

Mémoires de la Société Mathématique de France (1969)

  • Volume: 19, page 26-54
  • ISSN: 0249-633X

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Méla, Jean-François. "Approximation diophantienne et ensembles lacunaires." Mémoires de la Société Mathématique de France 19 (1969): 26-54. <http://eudml.org/doc/94558>.

@article{Méla1969,
author = {Méla, Jean-François},
journal = {Mémoires de la Société Mathématique de France},
keywords = {approximation and series expansion},
language = {fre},
pages = {26-54},
publisher = {Société mathématique de France},
title = {Approximation diophantienne et ensembles lacunaires},
url = {http://eudml.org/doc/94558},
volume = {19},
year = {1969},
}

TY - JOUR
AU - Méla, Jean-François
TI - Approximation diophantienne et ensembles lacunaires
JO - Mémoires de la Société Mathématique de France
PY - 1969
PB - Société mathématique de France
VL - 19
SP - 26
EP - 54
LA - fre
KW - approximation and series expansion
UR - http://eudml.org/doc/94558
ER -

References

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  1. [1] N. BARY. A treatise on trigonometric series. Pergamon Press, New York (1964) Zbl0129.28002MR30 #1347
  2. [2] CASSELS. An introduction to diophantine approximation. Cambridge University Press 
  3. [3] S. HARTMAN, C. Ryll-Nardzewski. Almost periodic extensions of functions. Coll. Math. 12 (1964), 23-29 Zbl0145.32101MR29 #5057
  4. [4] S. HARTMAN, S. ROLEWICZ, C. RYLL-NARDZEWSKI. Ultra Kroneckerian sets. Coll. Math. 16 (1966) Zbl0179.18702MR35 #5859
  5. [5] J.-P. KAHANE. Pseudopériodicité et séries de Fourier lacunaires. Annales de l'Ecole Normale Supérieure, 79 (1962), 93-150 Zbl0105.28601MR27 #4019
  6. [6] J.-P. KAHANE. Sur les fonctions moyennes périodiques bornées. Ann. Inst. Fourier, 7 (1967), 293-314 Zbl0083.34401MR21 #1489
  7. [7] J.-F. MÉLA. Suites lacunaires de Sidon. Ensembles propres et points exceptionnels. Ann. Inst. Fourier, 14 (1964), 533-538 Zbl0136.34002MR31 #2566
  8. [8] J.-F. MÉLA. Sur les ensembles d'interpolation de C. Ryll-Nardzewski et de S. Hartman. Stud. Math., 29 (1968), 167-193 Zbl0155.18802MR36 #5616
  9. [9] J.-F. MÉLA. Sur certains ensembles exceptionnels en analyse de Fourier. Ann. Inst. Fourier, 18 (1968), 32-71 Zbl0187.07202MR54 #860
  10. [10] Y. MEYER. Elargissement des ensembles de Sidon sur la droite. Séminaire d'Analyse Harmonique, Faculté des Sciences d'Orsay (1967-1968) 
  11. [11] C. RYLL-NARDZEWSKI. Remark on interpolation by periodic functions. Bull. Acad. Polonaise Sci., série des Sci. Math., 11 (1963), 363-366 Zbl0126.08402MR27 #5078
  12. [12] E. STRZELECKI. On a problem of interpolation by periodic and almost periodic functions. Coll. Math. 11 (1963), 239-248 Zbl0114.28501MR28 #3294
  13. [13] A. ZYGMUND. Quelques théorèmes sur les séries trigonométriques et celles de puissances. Stud. Math. III (1931), 77-91 Zbl0003.25301JFM57.0317.02
  14. [14] A. ZYGMUND. Trigonometric series. Cambridge University Press. New York (1959) Zbl0085.05601
  15. [15] LOOMIS. An introduction to abstract Harmonic Analysis. Van Nostrand Zbl0052.11701

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