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Sur les théorèmes inverses des procédés de sommation des séries divergentes. II. (French) Zbl 0041.38303


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[1] ANANDA-RAU , On the converse of Abel’s theorem (Journal London Math. Soc., vol. 3, n^\circ 11, p. 200-205). JFM 54.0232.03 · JFM 54.0232.03
[2] H. DELANGE , Théorèmes taubériens généraux (C. R. Acad. Sc., t. 225, 1947 , p. 28-31). MR 9,28a | Zbl 0029.25401 · Zbl 0029.25401
[3] H. DELANGE , The converse of Abel’s theorem on power series (Annals of Math., vol. 50, 1949 , p. 94-109). MR 10,368e | Zbl 0032.06002 · Zbl 0032.06002 · doi:10.2307/1969354
[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]. JFM 53.0247.01 · JFM 53.0247.01
[5] J. KARAMATA , Bemerkung zur Note : Über einige Inversionssätze der Limitierungsverfahren (Publ. Math. Univ. de Belgrade, t. 4, 1935 , p. 181-184). Zbl 0014.30001 | JFM 61.1098.01 · Zbl 0014.30001
[6] J. KARAMATA , Allgemeine Umkehrsätze der Limitierungsverfahren (Abhandlungen aus dem Mathematischen Seminar der Hansichen Universität, Bd 12, 1937 , p. 48-63). Zbl 0016.25001 | JFM 63.0171.01 · Zbl 0016.25001 · doi:10.1007/BF02948932
[7] J. KARAMATA , Sur les théorèmes inverses des procédés de sommabilité (Actualités scientifiques et industrielles, t. 450, Hermann, Paris, 1937 ). Zbl 0017.34802 | JFM 63.0169.02 · Zbl 0017.34802
[8] J. E. LITTLEWOOD , The converse of Abel’s theorem on power series [Proc. London Math. Soc., (2), t. 9, 1911 , p. 434-448]. JFM 42.0276.01 · JFM 42.0276.01
[9] O. SASZ , Über Dirichletsche Reihen an der Konvergenzgrenze (Atti del congresso internazionale dei mathematici, Bologna 1928 , vol. III, p. 269-276). JFM 56.0211.03 · JFM 56.0211.03
[10] O. SASZ , Generalization of two theorems of Hardy and Littlewood on power series (Duke Math. Journal, t. 1, 1935 , p. 105-111). Article | Zbl 0011.15703 | JFM 61.0217.03 · Zbl 0011.15703 · doi:10.1215/S0012-7094-35-00111-9
[11] O. SASZ , Converse theorems of summability for Dirichlet series (Trans. Amer. Math. Soc., t. 39, 1936 , p. 117-130). MR 1501837 | Zbl 0013.26202 | JFM 62.0225.02 · Zbl 0013.26202 · doi:10.2307/1989647
[12] N. WIENER , Tauberian theorems [Annals of Math., (2), t. 33, 1932 , p. 1-100]. Zbl 0004.05905 | JFM 58.0226.02 · Zbl 0004.05905 · doi:10.2307/1968102
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