Localization of the spectral expansions associated with the partial differential operators

Rakhimov, Abdumalik (2018) Localization of the spectral expansions associated with the partial differential operators. In: Mathematical Methods in Engineering : Theoretical Aspects. Nonlinear Systems and Complexity (23). Springer, Cham, Switzerland AG, pp. 217-233. ISBN 978-3-319-91064-2

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Abstract

In this paper we discuss precise conditions of the summability and localization of the spectral expansions associated with various partial differential operators. In this we study the problems in the spaces of both smooth functions and singular distributions. We study spectral expansions of the distributions with the compact support and classify the distributions with the Sobolev spaces. All theorems are formulated in terms of the smoothness and degree of the regularizations.

Item Type:	Book Chapter
Additional Information:	6741/76499
Uncontrolled Keywords:	Spectral Expansion, Riesz Means, Spherical Partial Sums, Multiple Fourier Series, Generalized Sobolev Spaces
Subjects:	Q Science > QA Mathematics > QA300 Analysis T Technology > TK Electrical engineering. Electronics Nuclear engineering > TK7800 Electronics. Computer engineering. Computer hardware. Photoelectronic devices > TK7885 Computer engineering
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering Kulliyyah of Engineering > Department of Science
Depositing User:	Professor Abdumalik Rakhimov
Date Deposited:	06 Aug 2020 15:10
Last Modified:	06 Aug 2020 15:10
URI:	http://irep.iium.edu.my/id/eprint/76499

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