Malaysian Journal of Mathematical Sciences, July 2013, Vol. 7, No. 2
Localization of Fourier-Laplace Series of Distributions
Anvarjon Ahmedov, Ahmad Fadly Nurullah and Abdumalik Rakhimov
Corresponding Email: ahmadfadlynurullah@yahoo.com
Received date: -
Accepted date: -
Abstract:
This work was intended as an attempt to extend the results on localization of the Fourier-Laplace series to the spectral expansions of distributions on the unit sphere. It is shown that the spectral expansions of the distribution on the unit sphere can be represented in terms of decompositions of the Laplace-Beltrami operator. It was of interest to establish sufficient conditions for localization of the spectral expansions of distribution to clarify the latter some relevant counter examples are indicated.
Keywords: Distributions, Fourier-Laplace series, localization, Riesz means, Laplace- Baltrami operator
