Sur les théorèmes inverses des procédés de sommation des séries divergentes (deuxième mémoire)

Hubert Delange

Annales scientifiques de l'École Normale Supérieure (1950)

  • Volume: 67, page 199-242
  • ISSN: 0012-9593

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Delange, Hubert. "Sur les théorèmes inverses des procédés de sommation des séries divergentes (deuxième mémoire)." Annales scientifiques de l'École Normale Supérieure 67 (1950): 199-242. <http://eudml.org/doc/81646>.

@article{Delange1950,
author = {Delange, Hubert},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Differentiation and integration},
language = {fre},
pages = {199-242},
publisher = {Elsevier},
title = {Sur les théorèmes inverses des procédés de sommation des séries divergentes (deuxième mémoire)},
url = {http://eudml.org/doc/81646},
volume = {67},
year = {1950},
}

TY - JOUR
AU - Delange, Hubert
TI - Sur les théorèmes inverses des procédés de sommation des séries divergentes (deuxième mémoire)
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1950
PB - Elsevier
VL - 67
SP - 199
EP - 242
LA - fre
KW - Differentiation and integration
UR - http://eudml.org/doc/81646
ER -

References

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  1. [1] ANANDA-RAU, On the converse of Abel's theorem (Journal London Math. Soc., vol. 3, n° 11, p. 200-205). Zbl54.0232.03JFM54.0232.03
  2. [2] H. DELANGE, Théorèmes taubériens généraux (C. R. Acad. Sc., t. 225, 1947, p. 28-31). Zbl0029.25401MR9,28a
  3. [3] H. DELANGE, The converse of Abel's theorem on power series (Annals of Math., vol. 50, 1949, p. 94-109). Zbl0032.06002MR10,368e
  4. [4] G. H. HARDY and J. E. LITTLEWOOD, Notes on the theory of series (IV) : On the strong summability of Fourier series [Proc. London Math. Soc., (2), t. 26, 1927, p. 273-286]. Zbl53.0247.01JFM53.0247.01
  5. [5] J. KARAMATA, Bemerkung zur Note : Über einige Inversionssätze der Limitierungsverfahren (Publ. Math. Univ. de Belgrade, t. 4, 1935, p. 181-184). Zbl0014.30001JFM61.1098.01
  6. [6] J. KARAMATA, Allgemeine Umkehrsätze der Limitierungsverfahren (Abhandlungen aus dem Mathematischen Seminar der Hansichen Universität, Bd 12, 1937, p. 48-63). Zbl0016.25001JFM63.0171.01
  7. [7] J. KARAMATA, Sur les théorèmes inverses des procédés de sommabilité (Actualités scientifiques et industrielles, t. 450, Hermann, Paris, 1937). Zbl0017.34802JFM63.0169.02
  8. [8] J. E. LITTLEWOOD, The converse of Abel's theorem on power series [Proc. London Math. Soc., (2), t. 9, 1911, p. 434-448]. Zbl42.0276.01JFM42.0276.01
  9. [9] O. SASZ, Über Dirichletsche Reihen an der Konvergenzgrenze (Atti del congresso internazionale dei mathematici, Bologna 1928, vol. III, p. 269-276). JFM56.0211.03
  10. [10] O. SASZ, Generalization of two theorems of Hardy and Littlewood on power series (Duke Math. Journal, t. 1, 1935, p. 105-111). Zbl0011.15703JFM61.0217.03
  11. [11] O. SASZ, Converse theorems of summability for Dirichlet series (Trans. Amer. Math. Soc., t. 39, 1936, p. 117-130). Zbl0013.26202MR1501837JFM62.0225.02
  12. [12] N. WIENER, Tauberian theorems [Annals of Math., (2), t. 33, 1932, p. 1-100]. Zbl0004.05905JFM58.0226.02

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