On the regularization of the spectral expansions of distributions with compact support

Rakhimov, Abdumalik (2015) On the regularization of the spectral expansions of distributions with compact support. In: FEIIC-International Conference on Engineering Education and Research 2015, 19th-21th Dec. 2015, Meridian Medina Hotel, Madinah, Kingdom Saudi of Arabia.

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Abstract

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.

Item Type:	Conference or Workshop Item (Plenary Papers)
Additional Information:	6741/47620 (ISBN: 978-967-5995-11-8
Uncontrolled Keywords:	regularization, localization, distributions, spectral, expansions.
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Science
Depositing User:	Professor Abdumalik Rakhimov
Date Deposited:	26 Jan 2016 10:33
Last Modified:	16 May 2016 07:42
URI:	http://irep.iium.edu.my/id/eprint/47620

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