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Problèmes de pseudo-périodicité. (French) Zbl 0252.42023


MSC:

42A75 Classical almost periodic functions, mean periodic functions

References:

[1] A. BEURLING et P. MALLIAVIN . - Closure of a set of exponentials on an interval . Acta Math. p. 79-93. · Zbl 0171.11901
[2] A. INGHAM . - Some trigonometric inequalities with applications to the theory of series . Math. Zeitschrift 41 ( 1936 ) p. 367-379. Zbl 0014.21503 | JFM 62.0225.01 · Zbl 0014.21503 · doi:10.1007/BF01180426
[3] J.P. KAHANE . - Sur les fonctions moyennes-périodiques bornées . Ann. Inst. Fourier 8 ( 1957 ) p. 293-314. Numdam | MR 21 #1489 | Zbl 0083.34401 · Zbl 0083.34401 · doi:10.5802/aif.72
[4] J.P. KAHANE . - Pseudo-périodicité et séries de Fourier lacunaires . Ann. Ec. Norm. Sup. 79 ( 1962 ) p. 93-150. Numdam | MR 27 #4019 | Zbl 0105.28601 · Zbl 0105.28601
[5] J.P. KAHANE . - Travaux de Beurling et Malliavin . Séminaire Bourbaki ( 1961 - 1962 ) Numdam | Zbl 0156.14702 · Zbl 0156.14702
[6] J.P. KAHANE et H. HELSON . - A fourier method in diophantine problems . J. Ahal. Math. Israel 15 ( 1965 ) p. 254-262. MR 31 #5856 | Zbl 0135.10804 · Zbl 0135.10804 · doi:10.1007/BF02787695
[7] H.J. LANDAU . - Necessary density conditions for sampling and interpolation of a certain entire function . Acta Math. 117 ( 1967 ) p. 37-52. MR 36 #5604 | Zbl 0154.15301 · Zbl 0154.15301 · doi:10.1007/BF02395039
[8] J.F. MÉLA . - Sur certains ensembles exceptionnels en Analyse de Fourier . Ann. Inst. Fourier 18 ( 1969 ) p. 32-71. Numdam | MR 54 #860 | Zbl 0187.07202 · Zbl 0187.07202 · doi:10.5802/aif.291
[9] J.F. MÉLA . - Approximation diophantienne et ensembles lacunaires . Mémoires Soc. Math. (à paraître) Numdam | Zbl 0198.09404 · Zbl 0198.09404
[10] Y. MEYER . - C.R. Acad. Sc. Paris, t. 266, ( 1968 ) p. 63-64. MR 37 #6665 | Zbl 0159.42304 · Zbl 0159.42304
[11] Y. MEYER . - Cours Peccot ( 1969 ) Collège de France. · Zbl 0189.14301
[12] R. PALEY et N. WIENER . - Fourier transforms in the complex domain . Colloq. Public. Amer. Math. Soc. New-York ( 1934 ). Zbl 0011.01601 | JFM 60.0345.02 · Zbl 0011.01601
[13] R. SALEM . - Algebraic numbers and Fourier . Series. Heath, 1963 . MR 28 #1169 | Zbl 0126.07802 · Zbl 0126.07802
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