Geodesic
The Hausdorff Means for Double Sequences
Canadian mathematical bulletin, Tome 10 (1967) no. 3, pp. 347-352

Voir la notice de l'article provenant de la source Cambridge University Press

The basic theory of the Hausdorff means for double sequences was developed some thirty - three years ago by C.R. Adams [1], and independently by F. Hallenbach [3], Yet today, many of the properties of these means remain largely uninvestigated. The calculations here, although clearly more complex, for the most part break down into obvious modifications of the calculations in the one dimensional case. 
Ustina, F. The Hausdorff Means for Double Sequences. Canadian mathematical bulletin, Tome 10 (1967) no. 3, pp. 347-352. doi: 10.4153/CMB-1967-031-1
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[1] 1. Adams, C. R., Hausdorff transformations for double sequences. Bull. Amer. Math. Soc. 39 (1933), 303-312. Google Scholar

[2] 2. Copping, J., Transformations of multiple sequences. Proc. London Math. Soc. (3) 6 (1955), 224-250. Google Scholar

[3] 3. Hallenbach, F., Zur Thèorie der Limitierungsverfahren von Doppelfolgen. Inaugural - Dissertation, Rheinischen Friedrich-Wilhelms - Universitát, Bonn (1933). Google Scholar

[4] 4. Hamilton, H. J., Transformations of multiple sequences. Duke Math. Jour. 2 (1933), 29-60. Google Scholar

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[7] 7. Ustina, F., Gibbs phenomenon and Lebesgue constants for theHausdorff means of double series. Ph. D. Dissertation, Alberta (1966). Google Scholar

[8] 8. Widder, D. V., The Laplace Transform. Princeton University Press (1944). Google Scholar

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