On the generalized Radimacher-Menchoff Theorem
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...
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| Format: | Conference or Workshop Item |
| Language: | English English |
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2018
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| Online Access: | http://umpir.ump.edu.my/id/eprint/24090/1/40.%20On%20the%20generalized%20radimacher-menchoff%20theorem.pdf http://umpir.ump.edu.my/id/eprint/24090/2/40.1%20On%20the%20generalized%20radimacher-menchoff%20theorem.pdf |
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| author | Ahmedov, Anvarjon A. Matarneh, Ehab |
| author_facet | Ahmedov, Anvarjon A. Matarneh, Ehab |
| author_sort | Ahmedov, Anvarjon A. |
| collection | UMP |
| description | 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. |
| first_indexed | 2024-03-06T12:30:48Z |
| format | Conference or Workshop Item |
| id | UMPir24090 |
| institution | Universiti Malaysia Pahang |
| language | English English |
| last_indexed | 2024-03-06T12:30:48Z |
| publishDate | 2018 |
| record_format | dspace |
| spelling | UMPir240902019-02-13T07:32:34Z http://umpir.ump.edu.my/id/eprint/24090/ On the generalized Radimacher-Menchoff Theorem Ahmedov, Anvarjon A. Matarneh, Ehab Q Science (General) QA Mathematics 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. 2018 Conference or Workshop Item NonPeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/24090/1/40.%20On%20the%20generalized%20radimacher-menchoff%20theorem.pdf pdf en http://umpir.ump.edu.my/id/eprint/24090/2/40.1%20On%20the%20generalized%20radimacher-menchoff%20theorem.pdf 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) (Unpublished) |
| spellingShingle | Q Science (General) QA Mathematics Ahmedov, Anvarjon A. Matarneh, Ehab On the generalized Radimacher-Menchoff Theorem |
| title | On the generalized Radimacher-Menchoff Theorem |
| title_full | On the generalized Radimacher-Menchoff Theorem |
| title_fullStr | On the generalized Radimacher-Menchoff Theorem |
| title_full_unstemmed | On the generalized Radimacher-Menchoff Theorem |
| title_short | On the generalized Radimacher-Menchoff Theorem |
| title_sort | on the generalized radimacher menchoff theorem |
| topic | Q Science (General) QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/24090/1/40.%20On%20the%20generalized%20radimacher-menchoff%20theorem.pdf http://umpir.ump.edu.my/id/eprint/24090/2/40.1%20On%20the%20generalized%20radimacher-menchoff%20theorem.pdf |
| work_keys_str_mv | AT ahmedovanvarjona onthegeneralizedradimachermenchofftheorem AT matarnehehab onthegeneralizedradimachermenchofftheorem |