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.

Bibliographic Details
Main Author: Rakhimov, Abdumalik A.
Format: Article
Language:English
Published: INSInet Publications 2012
Subjects:
Online Access:http://irep.iium.edu.my/24783/
http://irep.iium.edu.my/24783/
http://irep.iium.edu.my/24783/1/AJBAS_2012.pdf