Generalized localization for spherical partial sums of multiple Fourier series
Generalized localization for spherical partial sums of multiple Fourier series
In this paper the generalized localization principle for the spherical partial sums of the multiple Fourier series in the L2-class is proved, that is, if f L2 (ТN) and f = 0 on an open set ТN then it is shown that the spherical partial sums of this function converge …