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On the summability of the spectral expansions associated with the elliptic differential operators

Rakhimov, Abdumalik (2018) On the summability of the spectral expansions associated with the elliptic differential operators. In: 3rd International Conference on Mathematical Sciences and Statistics, 6th–8th February 2018, Putrajaya.

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Abstract

In this paper we study the summability problems of the spectral expansions associated with the elliptic partial differential operators in the spaces of distributions. In particular, the problems studied for the Schrodinger operator with the singular potential. For this operator theorems on the summability of the Fourier expansions in the generalised Holder spaces and in the Sobolev spaces of the mixed norm proved. The conditions obtained are accurate in the classes of considered distributions.

Item Type: Conference or Workshop Item (Plenary Papers)
Additional Information: 6741/64162
Uncontrolled Keywords: Spectral expansions; Riesz means; Distributions
Subjects: Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Engineering
Kulliyyah of Engineering > Department of Science
Depositing User: Professor Abdumalik Rakhimov
Date Deposited: 19 Dec 2018 09:11
Last Modified: 13 Feb 2019 17:43
URI: http://irep.iium.edu.my/id/eprint/64162

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