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The (C\(\lambda\))-property of Abel summability of double series and theorems of Tauberian type. (English) Zbl 0257.40003

MSC:

40B05 Multiple sequences and series
40G10 Abel, Borel and power series methods
40G05 Cesàro, Euler, Nörlund and Hausdorff methods
40E05 Tauberian theorems
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References:

[1] N. A. Davidov, ?A property of Cesaro summability of series,? Matem. Sb.,38 (80), No. 4 (1956).
[2] N. A. Davidov, ?The (C)-property of Cesaro and Abel-Poisson summability and theorems of Tauberian type,? Matem. Sb.,60 (102), No. 2 (1963).
[3] M. A. Kalatalova, ?The (C)-property of Cesaro summability for double series,? Ukrainsk. Matem. Zh.,23, No. 2 (1971). · Zbl 0224.40002
[4] V. G. Chelidze, Some Questions in the Theory of Double Series [in Russian], Ukhan’, China (1958).
[5] E. Titchmarsh, Theory of Functions [Russian translation], Gostekhizdat (1951). · Zbl 0042.07901
[6] I. I. Ogievetskii, ?Summation of double series,? Matem. Sb.,35 (77), No. 1 (1954).
[7] M. F. Timan, ?Abelian summability of double series,? Dokl. Akad. Nauk SSSR,60, No. 7 (1948).
[8] I. E. Zhak and M. F. Timan, ?Summation of double series,? Matem. Sb.,35 (77), No. 1 (1954). · Zbl 0059.04902
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