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Some tauberian theorems. (English) Zbl 0007.34502

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series
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References:

[1] A. F. Andersen, Studier over Cesaros Summabilitetsmetode. (Copenhagen, 1921). · JFM 48.0225.01
[2] L. S. Bosanquet and M. L. Cartwright, On the Hölder and Cesàro Means of an analytic function. Math. Zeitschr.37 (1933), S. 170-192. · JFM 59.0319.01
[3] G. H. Hardy and J. E. Littlewood, Solution of the Cesaro summability problem for power series and Fourier series. Math. Zeitschr.19 (1924), p. 67-96. · JFM 49.0232.01
[4] ??, Tauberian theorems concerning power series, etc. Proc. London Math. Soc. (2),13 (1914), p. 174-191. · JFM 45.0389.02
[5] ??: Abel’s theorem and its converse. Proc. London Math. Soc. (2),18 (1918), p. 205-235. · JFM 47.0279.02
[6] ??: Notes on the theory of series XVI: Two Tauberian theorems. Journ. London Math. Soc.6 (1931), p. 281-286. · Zbl 0003.11202
[7] G. Julia, Lecons sur les fonctions uniformes. (Paris 1923). · JFM 50.0637.03
[8] E. Landau, Darstellung und Begründung einiger neuerer Ergebnisse der Funktionentheorie. 2nd. Edn. (Berlin 1929).
[9] J. E. Littlewood, The converse of Abel’s theorem on power series. Proc. London Math. Soc. (2),9 (1910), p. 434-448. · JFM 42.0276.01
[10] P. Montel, Sur la représentation conforme. Journ. de Math. (4)3, (1917), p. 1-54. · JFM 46.0548.03
[11] L. Neder, Über Taubersche Bedingungen. Proc. London Math. Soc. (2)23, (1923), p. 172-184. · JFM 50.0236.02
[12] G. Polya, Aufgaben und Lehrsätze aus der Analysis, Vol. I (Berlin 1925).
[13] N. Wiener, A one-sided Tauberian theorem. Math. Zeitschr.36 (1933), S. 787-789. · Zbl 0007.00906
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