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Méla, Jean-François

Approximation diophantienne et ensembles lacunaires. (French) Zbl 0198.09404

Bull. Soc. Math. Fr., Suppl., Mém. 19, 26-54 (1969).
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Cited in 5 Documents

Keywords:

approximation and series expansion
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References:

[1] N. BARY . A treatise on trigonometric series . Pergamon Press, New York ( 1964 ) MR 30 #1347 | Zbl 0129.28002 · Zbl 0129.28002
[2] CASSELS . An introduction to diophantine approximation . Cambridge University Press [3] S. HARTMAN , C. Ryll-Nardzewski . Almost periodic extensions of functions . Coll. Math. 12 ( 1964 ), 23-29 MR 29 #5057 | Zbl 0145.32101 · Zbl 0145.32101
[3] S. HARTMAN , S. ROLEWICZ , C. RYLL-NARDZEWSKI . Ultra Kroneckerian sets . Coll. Math. 16 ( 1966 ) MR 35 #5859 | Zbl 0179.18702 · Zbl 0179.18702
[4] J.-P. KAHANE . Pseudopériodicité et séries de Fourier lacunaires . Annales de l’Ecole Normale Supérieure, 79 ( 1962 ), 93-150 Numdam | MR 27 #4019 | Zbl 0105.28601 · Zbl 0105.28601
[5] J.-P. KAHANE . Sur les fonctions moyennes périodiques bornées . Ann. Inst. Fourier, 7 ( 1967 ), 293-314 Numdam | MR 21 #1489 | Zbl 0083.34401 · Zbl 0083.34401 · doi:10.5802/aif.72
[6] J.-F. MÉLA . Suites lacunaires de Sidon . Ensembles propres et points exceptionnels. Ann. Inst. Fourier, 14 ( 1964 ), 533-538 Numdam | MR 31 #2566 | Zbl 0136.34002 · Zbl 0136.34002 · doi:10.5802/aif.189
[7] J.-F. MÉLA . Sur les ensembles d’interpolation de C. Ryll-Nardzewski et de S. Hartman . Stud. Math., 29 ( 1968 ), 167-193 Article | MR 36 #5616 | Zbl 0155.18802 · Zbl 0155.18802
[8] J.-F. MÉLA . Sur certains ensembles exceptionnels en analyse de Fourier . Ann. Inst. Fourier, 18 ( 1968 ), 32-71 Numdam | MR 54 #860 | Zbl 0187.07202 · Zbl 0187.07202 · doi:10.5802/aif.291
[9] Y. MEYER . Elargissement des ensembles de Sidon sur la droite . Séminaire d’Analyse Harmonique, Faculté des Sciences d’Orsay ( 1967 - 1968 ) [11] C. RYLL-NARDZEWSKI . Remark on interpolation by periodic functions . Bull. Acad. Polonaise Sci., série des Sci. Math., 11 ( 1963 ), 363-366 MR 27 #5078 | Zbl 0126.08402 · Zbl 0126.08402
[10] E. STRZELECKI . On a problem of interpolation by periodic and almost periodic functions . Coll. Math. 11 ( 1963 ), 239-248 Article | MR 28 #3294 | Zbl 0114.28501 · Zbl 0114.28501
[11] A. ZYGMUND . Quelques théorèmes sur les séries trigonométriques et celles de puissances . Stud. Math. III ( 1931 ), 77-91 Article | Zbl 0003.25301 | JFM 57.0317.02 · Zbl 0003.25301
[12] A. ZYGMUND . Trigonometric series . Cambridge University Press. New York ( 1959 ) Zbl 0085.05601 · Zbl 0085.05601
[13] LOOMIS . An introduction to abstract Harmonic Analysis . Van Nostrand Zbl 0052.11701 · Zbl 0052.11701
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