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On the sufficient conditions of the localization of the Fourier-Laplace series of distributions from liouville classes

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, , Citation Anvarjon A Ahmedov et al 2013 J. Phys.: Conf. Ser. 435 012016 DOI 10.1088/1742-6596/435/1/012016

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1 Department of Process and Food Engineering, Faculty of Engineering, Universiti Putra Malaysia

2 Institute for Mathematical Research, Universiti Putra Malaysia

3 Kulliyyah of Engineering, International Islamic University Malaysia

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1742-6596/435/1/012016

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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10.1088/1742-6596/435/1/012016