The Hausdorff means of double Fourier series and the principle of localization
The Hausdorff means of double Fourier series and the principle of localization
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 …