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The Hausdorff means of
double Fourier series and the principle of localization
Fred Ustina |
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Vol. 37 (1971), No. 1, 235–251
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Abstract |
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In the two dimensional case, as in the one dimensional case, the Hausdorff summability method is generated by a Hausdorff weight function. In this paper, we investigate the conditions which must be imposed on this weight function in order that the resulting means of a double Fourier series will display the principle of localization. |
Mathematical Subject Classification
Primary: 42A92
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Milestones
Received: 22 May 1970
Revised: 21 September 1970
Published: 1 April 1971
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Authors |
| Fred Ustina | |
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