Abelian and Tauberian results for the fractional Fourier cosine (sine) transform
In this paper, we presented Tauberian type results that intricately link the quasi-asymptotic behavior of both even and odd distributions to the corresponding asymptotic properties of their fractional Fourier cosine and sine transforms. We also obtained a structural theorem of Abelian type for the q...
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AIMS Press
2024-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024597?viewType=HTML |
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| author | Snježana Maksimović Sanja Atanasova Zoran D. Mitrović Salma Haque Nabil Mlaiki |
| author_facet | Snježana Maksimović Sanja Atanasova Zoran D. Mitrović Salma Haque Nabil Mlaiki |
| author_sort | Snježana Maksimović |
| collection | DOAJ |
| description | In this paper, we presented Tauberian type results that intricately link the quasi-asymptotic behavior of both even and odd distributions to the corresponding asymptotic properties of their fractional Fourier cosine and sine transforms. We also obtained a structural theorem of Abelian type for the quasi-asymptotic boundedness of even (resp. odd) distributions with respect to their fractional Fourier cosine transform (FrFCT) (resp. fractional Fourier sine transform (FrFST)). In both cases, we quantified the scaling asymptotic properties of distributions by asymptotic comparisons with Karamata regularly varying functions. |
| first_indexed | 2024-04-24T11:40:21Z |
| format | Article |
| id | doaj.art-3f41230a21724aa5add57302d8af85ce |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-24T11:40:21Z |
| publishDate | 2024-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-3f41230a21724aa5add57302d8af85ce2024-04-10T01:30:01ZengAIMS PressAIMS Mathematics2473-69882024-03-0195122251223810.3934/math.2024597Abelian and Tauberian results for the fractional Fourier cosine (sine) transformSnježana Maksimović0Sanja Atanasova1Zoran D. Mitrović2Salma Haque3Nabil Mlaiki41. Faculty of Architecture, Civil Engineering and Geodesy, University of Banja Luka, Stepe Stepanovića, 77/3, Banja Luka 78000, Bosnia and Hercegovina2. Faculty of Electrical Engineering and Information Technologies, Ss. Cyril and Methodius University in Skopje, Rugjer Boshkovik 18, Skopje 1000, North Macedonia3. Faculty of Electrical Engineering, University of Banja Luka, Patre 5, Banja Luka 78000, Bosnia and Herzegovina4. Department of Mathematics and Sciences, Prince Sultan University, 66833 Rafha Street, Riyadh 11586, Saudi Arabia4. Department of Mathematics and Sciences, Prince Sultan University, 66833 Rafha Street, Riyadh 11586, Saudi ArabiaIn this paper, we presented Tauberian type results that intricately link the quasi-asymptotic behavior of both even and odd distributions to the corresponding asymptotic properties of their fractional Fourier cosine and sine transforms. We also obtained a structural theorem of Abelian type for the quasi-asymptotic boundedness of even (resp. odd) distributions with respect to their fractional Fourier cosine transform (FrFCT) (resp. fractional Fourier sine transform (FrFST)). In both cases, we quantified the scaling asymptotic properties of distributions by asymptotic comparisons with Karamata regularly varying functions.https://www.aimspress.com/article/doi/10.3934/math.2024597?viewType=HTMLfractional fourier cosine (sine) transformdistributionsabelian and tauberian theorems |
| spellingShingle | Snježana Maksimović Sanja Atanasova Zoran D. Mitrović Salma Haque Nabil Mlaiki Abelian and Tauberian results for the fractional Fourier cosine (sine) transform AIMS Mathematics fractional fourier cosine (sine) transform distributions abelian and tauberian theorems |
| title | Abelian and Tauberian results for the fractional Fourier cosine (sine) transform |
| title_full | Abelian and Tauberian results for the fractional Fourier cosine (sine) transform |
| title_fullStr | Abelian and Tauberian results for the fractional Fourier cosine (sine) transform |
| title_full_unstemmed | Abelian and Tauberian results for the fractional Fourier cosine (sine) transform |
| title_short | Abelian and Tauberian results for the fractional Fourier cosine (sine) transform |
| title_sort | abelian and tauberian results for the fractional fourier cosine sine transform |
| topic | fractional fourier cosine (sine) transform distributions abelian and tauberian theorems |
| url | https://www.aimspress.com/article/doi/10.3934/math.2024597?viewType=HTML |
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