On the generalized radimacher-menchoff theorem for general spectral decomposition of the elliptic differential operators
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 co...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IOP Publishing
2019
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| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/27531/ http://umpir.ump.edu.my/id/eprint/27531/13/On%20the%20generalized%20Radimacher-Menchof.pdf |
| _version_ | 1848822821340315648 |
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| author | Ahmedov, Anvarjon A. Matarneh, Ehab Mohammad Hasan, Abd Sathar |
| author_facet | Ahmedov, Anvarjon A. Matarneh, Ehab Mohammad Hasan, Abd Sathar |
| author_sort | Ahmedov, Anvarjon A. |
| building | UMP Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T02:47:20Z |
| format | Conference or Workshop Item |
| id | ump-27531 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T02:47:20Z |
| publishDate | 2019 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-275312020-04-01T02:15:10Z http://umpir.ump.edu.my/id/eprint/27531/ On the generalized radimacher-menchoff theorem for general spectral decomposition of the elliptic differential operators Ahmedov, Anvarjon A. Matarneh, Ehab Mohammad Hasan, Abd Sathar T Technology (General) 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. IOP Publishing 2019 Conference or Workshop Item PeerReviewed pdf en cc_by http://umpir.ump.edu.my/id/eprint/27531/13/On%20the%20generalized%20Radimacher-Menchof.pdf 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 (Published) https://doi.org/10.1088/1742-6596/1366/1/012067 |
| spellingShingle | T Technology (General) Ahmedov, Anvarjon A. Matarneh, Ehab Mohammad Hasan, Abd Sathar On the generalized radimacher-menchoff theorem for general spectral decomposition of the elliptic differential operators |
| title | On the generalized radimacher-menchoff theorem for general spectral decomposition of the elliptic differential operators |
| title_full | On the generalized radimacher-menchoff theorem for general spectral decomposition of the elliptic differential operators |
| title_fullStr | On the generalized radimacher-menchoff theorem for general spectral decomposition of the elliptic differential operators |
| title_full_unstemmed | On the generalized radimacher-menchoff theorem for general spectral decomposition of the elliptic differential operators |
| title_short | On the generalized radimacher-menchoff theorem for general spectral decomposition of the elliptic differential operators |
| title_sort | on the generalized radimacher-menchoff theorem for general spectral decomposition of the elliptic differential operators |
| topic | T Technology (General) |
| url | http://umpir.ump.edu.my/id/eprint/27531/ http://umpir.ump.edu.my/id/eprint/27531/ http://umpir.ump.edu.my/id/eprint/27531/13/On%20the%20generalized%20Radimacher-Menchof.pdf |