Abstract
In this paper, we investigate the strong summability of multiple Fourier series by the Bochner-Riesz spherical means at eritical index. We prove that the localization theorem of the strong summability holds for any positive degree, that is, if f(x)∈L(Q_k) and f(x)=0(|x-x_0|δ), then We also give eertain results on the strong summability which improves Boehnor-Chandraosekharan's theorem.
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