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Abstract
In this work we investigate the localization principle of the Fourier-Laplace series of the distribution. Here we prove the sufficient conditions of the localization of the Riesz means of the spectral expansions of the Laplace-Beltrami operator on the unit sphere.
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Details
1 Department of Process and Food Engineering, Faculty of Engineering, Universiti Putra Malaysia; Institute for Mathematical Research, Universiti Putra Malaysia
2 Institute for Mathematical Research, Universiti Putra Malaysia
3 Institute for Mathematical Research, Universiti Putra Malaysia; Kulliyyah of Engineering, International Islamic University Malaysia