On the regularization of the spectral expansions of distributions with compact support
In this paper we study the summability of the spectral expansions of distributions from the Sobolev spaces with negative smoothness. The results obtained lead to the development of new interesting research directions of the spectral theory of differential operators. The results can be applied in t...
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| Format: | Article |
| Language: | English |
| Published: |
Federation of Engineering Institutions of Islamic Countries.
2016
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/51947/ http://irep.iium.edu.my/51947/ http://irep.iium.edu.my/51947/1/FIJET_vol13_issue1_18-24.pdf |
| Summary: | In this paper we study the summability of the spectral expansions of distributions from the Sobolev spaces with
negative smoothness. The results obtained lead to the development of new interesting research directions of the
spectral theory of differential operators. The results can be applied in the regularization of solutions of the
problems in Engineering with applications of modern spectral methods of mathematical physics and computing
systems in case when initial and/or boundary data of the problems presents some singularities and cannot be
described by locally integrable functions. |
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