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/24783/1/AJBAS_2012.pdf http://irep.iium.edu.my/24783/ http://www.scopus.com/record/display.url?eid=2-s2.0-84856805837&origin=resultslist&sort=plf-f&src=s&st1=Rakhimov&st2=abdumalik&nlo=1&nlr=20&nls=count-f&sid=SmbzKH4jReQeoZXQCj6guVz%3a163&sot=anl&sdt=aut&sl=42&s=AU-ID%28%22Rakhimov%2c+Abdumalik+A.%22+904391 |
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| 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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