Abelian and Tauberian Results for the Fractional Hankel Transform of Generalized Functions
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866916712497020928 |
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| author | Atanasova, Sanja Jakšić, Smiljana Maksimović, Snježana Pilipović, Stevan |
| author_facet | Atanasova, Sanja Jakšić, Smiljana Maksimović, Snježana Pilipović, Stevan |
| contents | This paper aims to explore the quasiasymptotic behavior of distributions through the fractional Hankel transform. We present Tauberian result that connects the asymptotic behavior of generalized functions in the Zemanian space with the asymptotics of their fractional Hankel transform. Additionally, we establish both the initial and final value theorems for the fractional Hankel transform of distributions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_20613 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Abelian and Tauberian Results for the Fractional Hankel Transform of Generalized Functions Atanasova, Sanja Jakšić, Smiljana Maksimović, Snježana Pilipović, Stevan Functional Analysis This paper aims to explore the quasiasymptotic behavior of distributions through the fractional Hankel transform. We present Tauberian result that connects the asymptotic behavior of generalized functions in the Zemanian space with the asymptotics of their fractional Hankel transform. Additionally, we establish both the initial and final value theorems for the fractional Hankel transform of distributions. |
| title | Abelian and Tauberian Results for the Fractional Hankel Transform of Generalized Functions |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2504.20613 |