Spectral Theorems in the Laguerre Hypergroup Setting
We introduce the two-wavelet multiplier operator in the Laguerre hypergroup setting. Knowing the fact that the study of this operator are both theoretically interesting and practically useful, we investigated several subjects of spectral analysis for the new operator. Firstly, we present a comprehen...
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| Format: | Article |
| Language: | English |
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Mathyze Publishers
2024-05-01
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| Series: | Pan-American Journal of Mathematics |
| Online Access: | https://mathyze.com/index.php/pajm/article/view/181 |
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| author | Hatem Mejjaoli Firdous A. Shah |
| author_facet | Hatem Mejjaoli Firdous A. Shah |
| author_sort | Hatem Mejjaoli |
| collection | DOAJ |
| description | We introduce the two-wavelet multiplier operator in the Laguerre hypergroup setting. Knowing the fact that the study of this operator are both theoretically interesting and practically useful, we investigated several subjects of spectral analysis for the new operator. Firstly, we present a comprehensive analysis of the generalized two-wavelet multiplier operator. Next, we introduce and we study the generalized Landau-PollakSlepian operator. As applications, some problems of the approximation theory and the uncertainty principles are studied. Finally, we give many results on the boundedness and compactness of the Laguerre two-wavelet multipliers on Lpα(K), 1≤p≤∞. |
| format | Article |
| id | doaj-art-b1ae545cabb14288b406dee8d04f8239 |
| institution | OA Journals |
| issn | 2832-4293 |
| language | English |
| publishDate | 2024-05-01 |
| publisher | Mathyze Publishers |
| record_format | Article |
| series | Pan-American Journal of Mathematics |
| spelling | doaj-art-b1ae545cabb14288b406dee8d04f82392025-08-20T02:34:59ZengMathyze PublishersPan-American Journal of Mathematics2832-42932024-05-013010.28919/cpr-pajm/3-1350Spectral Theorems in the Laguerre Hypergroup SettingHatem Mejjaoli0Firdous A. ShahTaibah UniversityWe introduce the two-wavelet multiplier operator in the Laguerre hypergroup setting. Knowing the fact that the study of this operator are both theoretically interesting and practically useful, we investigated several subjects of spectral analysis for the new operator. Firstly, we present a comprehensive analysis of the generalized two-wavelet multiplier operator. Next, we introduce and we study the generalized Landau-PollakSlepian operator. As applications, some problems of the approximation theory and the uncertainty principles are studied. Finally, we give many results on the boundedness and compactness of the Laguerre two-wavelet multipliers on Lpα(K), 1≤p≤∞.https://mathyze.com/index.php/pajm/article/view/181 |
| spellingShingle | Hatem Mejjaoli Firdous A. Shah Spectral Theorems in the Laguerre Hypergroup Setting Pan-American Journal of Mathematics |
| title | Spectral Theorems in the Laguerre Hypergroup Setting |
| title_full | Spectral Theorems in the Laguerre Hypergroup Setting |
| title_fullStr | Spectral Theorems in the Laguerre Hypergroup Setting |
| title_full_unstemmed | Spectral Theorems in the Laguerre Hypergroup Setting |
| title_short | Spectral Theorems in the Laguerre Hypergroup Setting |
| title_sort | spectral theorems in the laguerre hypergroup setting |
| url | https://mathyze.com/index.php/pajm/article/view/181 |
| work_keys_str_mv | AT hatemmejjaoli spectraltheoremsinthelaguerrehypergroupsetting AT firdousashah spectraltheoremsinthelaguerrehypergroupsetting |