On the approximation of the spectral expansions of distributions in the weak topology
In this paper we study approximations of distributions on a smooth manifold. We obtain sufficient conditions of summation of the series in the weak topology. As applications we consider spectral expansions connected with elliptic partial differential operators.
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| Format: | Article |
| Language: | English |
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INSInet Publications
2012
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| Online Access: | http://irep.iium.edu.my/24783/ http://irep.iium.edu.my/24783/ http://irep.iium.edu.my/24783/1/AJBAS_2012.pdf |
| Summary: | In this paper we study approximations of distributions on a smooth manifold. We obtain sufficient conditions of summation of the series in the weak topology. As applications we consider spectral expansions connected with elliptic partial differential operators. |
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