On convergence almost everywhere of multiple Fourier integrals
In this paper we investigate the principle of the generalised localisation for spectral expansions of the polyharmonic operator, which coincides with the multiple Fourier integrals summed over the domains corresponding to the surface levels of the polyharmonic polynomials. It is proved that the part...
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| Format: | Article |
| Language: | English |
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Universiti Kebangsaan Malaysia
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/51200/1/On%20convergence%20almost%20everywhere%20of%20multiple%20fourier%20integrals.pdf |
| _version_ | 1825930483398082560 |
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| author | Ahmedov, Anvarjon Ab. Aziz, Norashikin Mokhtar, Mohd Noriznan |
| author_facet | Ahmedov, Anvarjon Ab. Aziz, Norashikin Mokhtar, Mohd Noriznan |
| author_sort | Ahmedov, Anvarjon |
| collection | UPM |
| description | In this paper we investigate the principle of the generalised localisation for spectral expansions of the polyharmonic operator, which coincides with the multiple Fourier integrals summed over the domains corresponding to the surface levels of the polyharmonic polynomials. It is proved that the partial sums of the multiple Fourier integrals of a function f ∈ L2(RN) converge to zero almost-everywhere on RN \ sup f. |
| first_indexed | 2024-03-06T09:12:13Z |
| format | Article |
| id | upm.eprints-51200 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:12:13Z |
| publishDate | 2011 |
| publisher | Universiti Kebangsaan Malaysia |
| record_format | dspace |
| spelling | upm.eprints-512002017-05-02T08:02:42Z http://psasir.upm.edu.my/id/eprint/51200/ On convergence almost everywhere of multiple Fourier integrals Ahmedov, Anvarjon Ab. Aziz, Norashikin Mokhtar, Mohd Noriznan In this paper we investigate the principle of the generalised localisation for spectral expansions of the polyharmonic operator, which coincides with the multiple Fourier integrals summed over the domains corresponding to the surface levels of the polyharmonic polynomials. It is proved that the partial sums of the multiple Fourier integrals of a function f ∈ L2(RN) converge to zero almost-everywhere on RN \ sup f. Universiti Kebangsaan Malaysia 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51200/1/On%20convergence%20almost%20everywhere%20of%20multiple%20fourier%20integrals.pdf Ahmedov, Anvarjon and Ab. Aziz, Norashikin and Mokhtar, Mohd Noriznan (2011) On convergence almost everywhere of multiple Fourier integrals. Journal of Quality Measurement and Analysis, 7 (1). pp. 109-115. ISSN 1823-5670 http://www.ukm.my/jqma/jqma7_1a.html |
| spellingShingle | Ahmedov, Anvarjon Ab. Aziz, Norashikin Mokhtar, Mohd Noriznan On convergence almost everywhere of multiple Fourier integrals |
| title | On convergence almost everywhere of multiple Fourier integrals |
| title_full | On convergence almost everywhere of multiple Fourier integrals |
| title_fullStr | On convergence almost everywhere of multiple Fourier integrals |
| title_full_unstemmed | On convergence almost everywhere of multiple Fourier integrals |
| title_short | On convergence almost everywhere of multiple Fourier integrals |
| title_sort | on convergence almost everywhere of multiple fourier integrals |
| url | http://psasir.upm.edu.my/id/eprint/51200/1/On%20convergence%20almost%20everywhere%20of%20multiple%20fourier%20integrals.pdf |
| work_keys_str_mv | AT ahmedovanvarjon onconvergencealmosteverywhereofmultiplefourierintegrals AT abaziznorashikin onconvergencealmosteverywhereofmultiplefourierintegrals AT mokhtarmohdnoriznan onconvergencealmosteverywhereofmultiplefourierintegrals |