On the spectral expansions of distributions on compact Riemannian manifold

Rakhimov, Abdumalik and Saydamatov, Erkin and Sheraliev, Shuhrat (2026) On the spectral expansions of distributions on compact Riemannian manifold. AIP CP, 3483, 050003 (2026) (1). pp. 1-5. ISSN 0094-243X E-ISSN 1551-7616

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Abstract

This article is about summability of the spectral expansions associated with the Laplace-Beltrami operator on compact Riemannian manifold with boundaries. In this we study expansions of the distributions from the Sobolev spaces with negative powers. The summability problems are discussed in the different topologies of the spaces of the distributions.

Item Type:	Article (Journal)
Uncontrolled Keywords:	Distributions, Fourier, Laplace, manufolds
Subjects:	Q Science > QA Mathematics > QA300 Analysis
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:	10 Aug 2026 12:20
Last Update:	10 Aug 2026 12:20
Queue Number:	2026-08-Q4586
URI:	http://irep.iium.edu.my/id/eprint/130621

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