Vol. 37, No. 1, 1971

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ISSN: 0030-8730
The Hausdorff means of double Fourier series and the principle of localization

Fred Ustina

Vol. 37 (1971), No. 1, 235–251
Abstract

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
Milestones
Received: 22 May 1970
Revised: 21 September 1970
Published: 1 April 1971
Authors
Fred Ustina