Inversion of Weinstein intertwining operator and its dual using Weinstein wavelets
In this paper, we consider the Weinstein intertwining operator ℜa, dW and its dual tR a,dW. Using these operators, we give relations between the Weinstein and the classical continuous wavelet transforms. Finally, using the Weinstein continuous wavelet transform, we deduce the formulas which give the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2016-01-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/auom-2016-0016 |
| _version_ | 1811329851698708480 |
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| author | Gasmi Abdessalem Ben Mohamed Hassen Bettaibi Néji |
| author_facet | Gasmi Abdessalem Ben Mohamed Hassen Bettaibi Néji |
| author_sort | Gasmi Abdessalem |
| collection | DOAJ |
| description | In this paper, we consider the Weinstein intertwining operator ℜa, dW and its dual tR a,dW. Using these operators, we give relations between the Weinstein and the classical continuous wavelet transforms. Finally, using the Weinstein continuous wavelet transform, we deduce the formulas which give the inverse operators of R a,dW and tR a,dW. |
| first_indexed | 2024-04-13T15:51:19Z |
| format | Article |
| id | doaj.art-bdea553c840448818eb42484fe2024c6 |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-04-13T15:51:19Z |
| publishDate | 2016-01-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-bdea553c840448818eb42484fe2024c62022-12-22T02:40:50ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352016-01-0124128930710.1515/auom-2016-0016Inversion of Weinstein intertwining operator and its dual using Weinstein waveletsGasmi Abdessalem0Ben Mohamed Hassen1Bettaibi Néji2Department of Mathematics, Faculty of Sciences, Taibah University, Medina, Saudi ArabiaDepartment of Mathematics, Faculty of Sciences of Gabes, Gabes University, Gabes, TunisiaDepartment of Mathematics, Faculty of Sciences, Qassim University, Buraydah, Saudi ArabiaIn this paper, we consider the Weinstein intertwining operator ℜa, dW and its dual tR a,dW. Using these operators, we give relations between the Weinstein and the classical continuous wavelet transforms. Finally, using the Weinstein continuous wavelet transform, we deduce the formulas which give the inverse operators of R a,dW and tR a,dW.https://doi.org/10.1515/auom-2016-0016weinsteinintertwining operatorcontinuous wavelet transformprimary 42b1042b35secondary 42b35 |
| spellingShingle | Gasmi Abdessalem Ben Mohamed Hassen Bettaibi Néji Inversion of Weinstein intertwining operator and its dual using Weinstein wavelets Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica weinstein intertwining operator continuous wavelet transform primary 42b10 42b35 secondary 42b35 |
| title | Inversion of Weinstein intertwining operator and its dual using Weinstein wavelets |
| title_full | Inversion of Weinstein intertwining operator and its dual using Weinstein wavelets |
| title_fullStr | Inversion of Weinstein intertwining operator and its dual using Weinstein wavelets |
| title_full_unstemmed | Inversion of Weinstein intertwining operator and its dual using Weinstein wavelets |
| title_short | Inversion of Weinstein intertwining operator and its dual using Weinstein wavelets |
| title_sort | inversion of weinstein intertwining operator and its dual using weinstein wavelets |
| topic | weinstein intertwining operator continuous wavelet transform primary 42b10 42b35 secondary 42b35 |
| url | https://doi.org/10.1515/auom-2016-0016 |
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