A Note on Fractional Gabor Systems in L2ℝ
In this article, fractional Gabor frames in L2ℝ are defined and studied. Also, a finite linear combination of fractional Gabor frames for L2ℝ is discussed. It is proved that under certain conditions, a finite linear combination of fractional Gabor frames is a fractional Gabor frame for L2ℝ. Finally,...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2024/7170692 |
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| _version_ | 1850172082801868800 |
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| author | Dolly Jain Mina Kumari Sandeep Kumari |
| author_facet | Dolly Jain Mina Kumari Sandeep Kumari |
| author_sort | Dolly Jain |
| collection | DOAJ |
| description | In this article, fractional Gabor frames in L2ℝ are defined and studied. Also, a finite linear combination of fractional Gabor frames for L2ℝ is discussed. It is proved that under certain conditions, a finite linear combination of fractional Gabor frames is a fractional Gabor frame for L2ℝ. Finally, the stability of fractional Gabor frames is discussed, and some results for the stability of fractional Gabor frames are proved. |
| format | Article |
| id | doaj-art-d77bdf3566db439d886554222afb6c26 |
| institution | OA Journals |
| issn | 2314-8888 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-d77bdf3566db439d886554222afb6c262025-08-20T02:20:09ZengWileyJournal of Function Spaces2314-88882024-01-01202410.1155/2024/7170692A Note on Fractional Gabor Systems in L2ℝDolly Jain0Mina Kumari1Sandeep Kumari2Department of MathematicsDepartment of MathematicsDepartment of MathematicsIn this article, fractional Gabor frames in L2ℝ are defined and studied. Also, a finite linear combination of fractional Gabor frames for L2ℝ is discussed. It is proved that under certain conditions, a finite linear combination of fractional Gabor frames is a fractional Gabor frame for L2ℝ. Finally, the stability of fractional Gabor frames is discussed, and some results for the stability of fractional Gabor frames are proved.http://dx.doi.org/10.1155/2024/7170692 |
| spellingShingle | Dolly Jain Mina Kumari Sandeep Kumari A Note on Fractional Gabor Systems in L2ℝ Journal of Function Spaces |
| title | A Note on Fractional Gabor Systems in L2ℝ |
| title_full | A Note on Fractional Gabor Systems in L2ℝ |
| title_fullStr | A Note on Fractional Gabor Systems in L2ℝ |
| title_full_unstemmed | A Note on Fractional Gabor Systems in L2ℝ |
| title_short | A Note on Fractional Gabor Systems in L2ℝ |
| title_sort | note on fractional gabor systems in l2r |
| url | http://dx.doi.org/10.1155/2024/7170692 |
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