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On the generalized Radimacher-Menchoff Theorem

Ahmedov, Anvarjon A. and Matarneh, Ehab (2018) On the generalized Radimacher-Menchoff Theorem. In: International Conference on Science Technology and Social Sciences 2018 (ICSTSS 2018), 3 - 4 November 2018 , Vistana Hotel, Bukit Jambul Penang, Malaysia. pp. 1-21.. (Unpublished)

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Abstract

We consider spectral decompositions of elliptic operators. An analogue of the Radimacher-Menchoff Theorem for general spectral expansions corresponding to a self-adjoint extension of elliptic operators is proved. The theorem obtained allows us to obtain a result on the almost everywhere convergence of the spectral decompositions from the Liouville classes. The sufficient conditions is obtained for spherical summability of multiple Fourier series from Liouville classes Lp (TN); 1 < p < 2, related to the self-adjoint extension of the Laplace operator in torus TN.

Item Type: Conference or Workshop Item (Lecture)
Uncontrolled Keywords: Radimacher-Menchoff Theorem
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Faculty/Division: Faculty of Industrial Sciences And Technology
Depositing User: Pn. Hazlinda Abd Rahman
Date Deposited: 13 Feb 2019 07:32
Last Modified: 13 Feb 2019 07:32
URI: http://umpir.ump.edu.my/id/eprint/24090
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