Abelian and Tauberian results for the fractional Hankel transform in Zemanian-type spaces
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918201378471936 |
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| author | Atanasova, Sanja Jakšić, Smiljana Maksimović, Snježana Pilipović, Stevan |
| author_facet | Atanasova, Sanja Jakšić, Smiljana Maksimović, Snježana Pilipović, Stevan |
| contents | In this paper, we first present an Abelian-type theorem for the fractional Hankel transform (FrHT) within Zemanian generalized function spaces. To prove this, we show that these spaces have the Montel property. Next, we construct a new Zemanian-type space as a projective limit of suitable Banach spaces. Its dual is the largest known distribution space admitting the FrHT. Finally, within this extended setting, we establish new Abelian and Tauberian-type results for the FrHT. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_09343 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Abelian and Tauberian results for the fractional Hankel transform in Zemanian-type spaces Atanasova, Sanja Jakšić, Smiljana Maksimović, Snježana Pilipović, Stevan Functional Analysis In this paper, we first present an Abelian-type theorem for the fractional Hankel transform (FrHT) within Zemanian generalized function spaces. To prove this, we show that these spaces have the Montel property. Next, we construct a new Zemanian-type space as a projective limit of suitable Banach spaces. Its dual is the largest known distribution space admitting the FrHT. Finally, within this extended setting, we establish new Abelian and Tauberian-type results for the FrHT. |
| title | Abelian and Tauberian results for the fractional Hankel transform in Zemanian-type spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2511.09343 |