The generalized localization for multiple Fourier integrals |
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| Authors: | Ravshan Ashurov Ahmad Rodzi b Mahmud |
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| Institution: | a Institute of Advanced Technology, Malaysia
b Department of Process and Food Engineering, Faculty of Engineering & Institute for Mathematical Research, Universiti Putra Malaysia, 43400, UPM Serdang, Selangor, Malaysia |
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| Abstract: | In this paper 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 f∈Lp(RN), 1?p?2 converge to zero almost-everywhere on RN?supp(f). |
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| Keywords: | Multiple Fourier integral Spectral expansions of elliptic differential operators Bochner-Riesz means The generalized localization |
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