Pseudo-périodicité et séries de Fourier lacunaires

Jean-Pierre Kahane

Annales scientifiques de l'École Normale Supérieure (1962)

  • Volume: 79, Issue: 2, page 93-150
  • ISSN: 0012-9593

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Kahane, Jean-Pierre. "Pseudo-périodicité et séries de Fourier lacunaires." Annales scientifiques de l'École Normale Supérieure 79.2 (1962): 93-150. <http://eudml.org/doc/81778>.

@article{Kahane1962,
author = {Kahane, Jean-Pierre},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {modular functions, automorphic functions, almost periodic functions},
language = {fre},
number = {2},
pages = {93-150},
publisher = {Elsevier},
title = {Pseudo-périodicité et séries de Fourier lacunaires},
url = {http://eudml.org/doc/81778},
volume = {79},
year = {1962},
}

TY - JOUR
AU - Kahane, Jean-Pierre
TI - Pseudo-périodicité et séries de Fourier lacunaires
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1962
PB - Elsevier
VL - 79
IS - 2
SP - 93
EP - 150
LA - fre
KW - modular functions, automorphic functions, almost periodic functions
UR - http://eudml.org/doc/81778
ER -

References

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  1. [0] S. BANACH, Théorie des opérations linéaires, Varsovie, 1932. Zbl0005.20901JFM58.0420.01
  2. [1] A. BESICOVITCH, Almost periodic functions, Cambridge U. P., 1932. Zbl0004.25303JFM58.0264.02
  3. [2] R. P. BOAS, Entire Functions, Academic Press, New York, 1954. Zbl0058.30201MR16,914f
  4. [3] R. DUFFIN et A. SCHAEFFER, A class of nonharmonic Fourier series (Transactions of the Amer. Math. Soc., t. 72, 1952, p. 341-366). Zbl0049.32401MR13,839a
  5. [4] H. HELSON et D. LOWDENSLAGER, Prediction theory and Fourier series in several variables (Acta Mathematica, t. 99, 1958, p. 165-202). Zbl0082.28201MR20 #4155
  6. [5] A. INGHAM, Some trigonometrical inequalities with applications to the theory of series (Math. Zeitschrift, t. 41, 1936, p. 367-379). Zbl0014.21503JFM62.0225.01
  7. [6] J.-P. KAHANE, Sur les fonctions moyenne-périodiques bornées (Ann. Inst. Fourier, t. VIII, 1957, p. 293-314). Zbl0083.34401MR21 #1489
  8. [7] S. MANDELBROJT, Séries de Fourier et classes quasi analytiques de fonctions, Gauthier-Villars, Paris, 1935. Zbl0013.11006JFM61.1117.05
  9. [8] R. PALEY et N. WIENER, Fourier transforms in the complex domain, Colloq. Public. Amer. Math. Soc., New York, 1934. Zbl0011.01601JFM60.0345.02
  10. [9] M. PLANCHEREL et G. PÓLYA, Fonctions entières et intégrales de Fourier multiples (Comment. Math. Helv., t. 9, 1937, p. 224-248). Zbl0016.36004JFM63.0377.02
  11. [10] R. SALEM, On singular monotonic functions whose spectrum has a given Hausdorff dimension (Arkiv för Matematik, t. 1, 1950, p. 353-365). Zbl0054.03001MR13,230b
  12. [11] L. SCHWARTZ, Théorie des distributions, t. I et II, Hermann, Paris 1950 et 1951. Zbl0037.07301
  13. [12] A. ZYGMUND, Trigonometric Series, t. I et II, 2e édition, Cambridge U. P., 1959. Zbl0085.05601

Citations in EuDML Documents

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  1. M. Frisch, Propriétés asymptotiques des vibrations des tores
  2. Sorin Micu, Ionel Rovenţa, Uniform controllability of the linear one dimensional Schrödinger equation with vanishing viscosity
  3. Nicolas Burq, Maciej Zworski, Control theory and high energy eigenfunctions
  4. Yves Meyer, Jean-Pierre Schreiber, Quelques fonctions moyennes-périodiques non bornées
  5. Sorin Micu, Ionel Rovenţa, Uniform controllability of the linear one dimensional Schrödinger equation with vanishing viscosity
  6. Claudio Baiocchi, Vilmos Komornik, Paola Loreti, Ingham type theorems and applications to control theory
  7. Jean-François Méla, Problèmes de pseudo-périodicité
  8. Jean-François Méla, Approximation diophantienne et ensembles lacunaires
  9. Jean-François Mela, Approximation diophantienne et ensembles lacunaires

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