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The generalized localization for multiple Fourier integrals. (English) Zbl 1195.42053
Authors’ abstract: We investigate almost-everywhere convergence properties of the Bochner-Riesz means of N-fold Fourier integrals under summation over domains bounded by the level surfaces of the elliptic polynomials. It is proved that if the order of the Bochner-Riesz means s(N-1)(1/p-1/2), then the Bochner-Riesz means of a function fL p ( N ),1p2 converge to zero almost-everywhere on N supp (f).
MSC:
42B10Fourier type transforms, several variables
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