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On the spectral expansions of distributions on compact Riemannian manifold

AIP Conference ProceedingsConference Paper2026
DOI: 10.1063/12.0044905
  • aInternational Islamic University Malaysia, P.O. Box 10, Kuala Lumpur, 50728, Malaysia
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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. © 2026 Author(s).

Corresponding authors

Corresponding authorA. Rakhimov
AffiliationInternational Islamic University Malaysia, P.O. Box 10, Kuala Lumpur, 50728, Malaysia
Email addressabdumalik@iium.edu.my

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