Paley-Wiener-type theorems for the Hankel transform of positive half-integer order in weighted $L^2$-spaces
In this paper, we obtain several analogues of the Paley-Wiener theorem for the Hankel transform of order $m+1/2$ with $m\in\mathbb N$ in weighted spaces $L^2((0;1);x^{2m} dx)$. These Paley-Wiener-type theorems describe a certain class of odd entire functions of exponential type $\sigma \leqslant 1$...
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| Format: | Artigo |
| Jezik: | Inglês |
| Izdano: |
Oles Honchar Dnipro National University
2025-12-01
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| Serija: | Researches in Mathematics |
| Teme: | |
| Online dostop: | https://vestnmath.dnu.dp.ua/index.php/rim/article/view/476/476 |
| Oznake: |
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