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On the generalized radimacher-menchoff theorem for general spectral decomposition of the elliptic differential operators

Ahmedov, Anvarjon A. and Matarneh, Ehab and Mohammad Hasan, Abd Sathar (2019) On the generalized radimacher-menchoff theorem for general spectral decomposition of the elliptic differential operators. In: Journal of Physics: Conference Series, 2nd International Conference on Applied & Industrial Mathematics and Statistics (ICoAIMS 2019), 23-25 July 2019 , Kuantan, Pahang, Malaysia. pp. 1-10., 1366 (012067). ISSN 1742-6596

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Abstract

The spectral decompositions of elliptic operators are considered. An analogue of the Radimacher-Menchoff Theorem for general spectral expansions corresponding to a self-adjoint extension of elliptic operators is obtained. The theorem obtained allows us to obtain a result on the almost everywhere convergence of the spectral decompositions from the Liouville classes. The estimation of the maximal operator corresponding to the spherical sums of multiple Fourier series from Liouville classes L α p (T N ), 1 ≤ p ≤ 2, is derived.

Item Type: Conference or Workshop Item (Lecture)
Uncontrolled Keywords: Radimacher-Menchoff; Spectral Expansions; Spectral Decompositions
Subjects: T Technology > T Technology (General)
Faculty/Division: Faculty of Industrial Sciences And Technology
Depositing User: Pn. Hazlinda Abd Rahman
Date Deposited: 01 Apr 2020 02:15
Last Modified: 01 Apr 2020 02:15
URI: http://umpir.ump.edu.my/id/eprint/27531
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