A New Wavelet Transform and Its Localization Operators
In the present paper we define and study a new wavelet transformation associated to the linear canonical Dunkl transform (LCDT), which has been widely used in signal processing and other related fields. Then we define and study a class of pseudo-differential operators known as time-frequency (or loc...
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| Language: | English |
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MDPI AG
2025-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/11/1771 |
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| author | Saifallah Ghobber Hatem Mejjaoli |
| author_facet | Saifallah Ghobber Hatem Mejjaoli |
| author_sort | Saifallah Ghobber |
| collection | DOAJ |
| description | In the present paper we define and study a new wavelet transformation associated to the linear canonical Dunkl transform (LCDT), which has been widely used in signal processing and other related fields. Then we define and study a class of pseudo-differential operators known as time-frequency (or localization) operators and we give criteria for its boundedness and Schatten class properties. |
| format | Article |
| id | doaj-art-e319e6aa44db44e7abbcd50a2e15c901 |
| institution | DOAJ |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-e319e6aa44db44e7abbcd50a2e15c9012025-08-20T03:11:19ZengMDPI AGMathematics2227-73902025-05-011311177110.3390/math13111771A New Wavelet Transform and Its Localization OperatorsSaifallah Ghobber0Hatem Mejjaoli1Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al-Ahsa 31982, Saudi ArabiaDepartment of Mathematics, College of Sciences, Taibah University, P.O. Box 30002, Al Madinah Al Munawarah 42353, Saudi ArabiaIn the present paper we define and study a new wavelet transformation associated to the linear canonical Dunkl transform (LCDT), which has been widely used in signal processing and other related fields. Then we define and study a class of pseudo-differential operators known as time-frequency (or localization) operators and we give criteria for its boundedness and Schatten class properties.https://www.mdpi.com/2227-7390/13/11/1771linear canonical Dunkl transformgeneralized wavelet transformlocalization operators |
| spellingShingle | Saifallah Ghobber Hatem Mejjaoli A New Wavelet Transform and Its Localization Operators Mathematics linear canonical Dunkl transform generalized wavelet transform localization operators |
| title | A New Wavelet Transform and Its Localization Operators |
| title_full | A New Wavelet Transform and Its Localization Operators |
| title_fullStr | A New Wavelet Transform and Its Localization Operators |
| title_full_unstemmed | A New Wavelet Transform and Its Localization Operators |
| title_short | A New Wavelet Transform and Its Localization Operators |
| title_sort | new wavelet transform and its localization operators |
| topic | linear canonical Dunkl transform generalized wavelet transform localization operators |
| url | https://www.mdpi.com/2227-7390/13/11/1771 |
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