Localization of Fourier-Laplace series of distributions
This work was intended as an attempt to extend the results on localization of 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 decompostions of Lapl...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Institute Mathematical Sciences, Universiti Putra Malaysia
2013
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/33983/ http://irep.iium.edu.my/33983/ http://irep.iium.edu.my/33983/1/10._anvarjon%2C_fadly_%26_abdumalik.pdf |
| Summary: | This work was intended as an attempt to extend the results on localization of
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 decompostions of 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. |
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