Fonctions entières de type exponentiel comme multiplicateurs. Un exemple et une condition nécessaire et suffisante

Paul Koosis

Annales scientifiques de l'École Normale Supérieure (1983)

  • Volume: 16, Issue: 3, page 375-407
  • ISSN: 0012-9593

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Koosis, Paul. "Fonctions entières de type exponentiel comme multiplicateurs. Un exemple et une condition nécessaire et suffisante." Annales scientifiques de l'École Normale Supérieure 16.3 (1983): 375-407. <http://eudml.org/doc/82122>.

@article{Koosis1983,
author = {Koosis, Paul},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {entire function of exponential type},
language = {fre},
number = {3},
pages = {375-407},
publisher = {Elsevier},
title = {Fonctions entières de type exponentiel comme multiplicateurs. Un exemple et une condition nécessaire et suffisante},
url = {http://eudml.org/doc/82122},
volume = {16},
year = {1983},
}

TY - JOUR
AU - Koosis, Paul
TI - Fonctions entières de type exponentiel comme multiplicateurs. Un exemple et une condition nécessaire et suffisante
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1983
PB - Elsevier
VL - 16
IS - 3
SP - 375
EP - 407
LA - fre
KW - entire function of exponential type
UR - http://eudml.org/doc/82122
ER -

References

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  1. [1] P. KOOSIS, Entire Functions of Exponential Type as Multipliers for Weight Functions (Pacific Journal of Math., vol. 95, 1981, p. 105-123). Zbl0481.30025MR82m:30033
  2. [2] A. BEURLING et P. MALLIAVIN, On Fourier Transforms of Measures with Compact Support (Acta Math., vol. 107, 1962, p. 291-309). Zbl0127.32601MR26 #5361
  3. [3] P. KOOSIS, Harmonic Estimation in Certain Slit Regions and a Theorem of Beurling and Malliavin (Acta Math., vol. 142, 1979, p. 275-304). Zbl0406.31001MR80d:31007
  4. [4] P. MALLIAVIN, On the Multiplier Theorem for Fourier Transforms of Measures with Compact Support (Arkiv för Mat., vol. 17, 1979, p. 69-81). Zbl0423.42009MR81e:42023
  5. [5] L. L. HELMS, Introduction to Potential Theory, Wiley-Interscience, New York, 1969. Zbl0188.17203MR41 #5638
  6. [6] P. KOOSIS, Sur la non-totalité de certaines suites d'exponentielles sur des intervalles assez longs (Ann. scient. Éc. Norm. Sup., Paris, Série 3, 75, 1958, p. 125-152). Zbl0100.06804MR21 #2866
  7. [7] R. REDHEFFER, Completeness of Sets of Complex Exponentials (Advances in Math., vol. 24, 1977, p. 1-62). Zbl0358.42007MR56 #5852
  8. [8] Y. KATZNELSON, An Introduction to Harmonic Analysis, Wiley, New York, 1968. Zbl0169.17902MR40 #1734

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