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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Autor principal:	R.V. Khats'
Format:	Artigo
Idioma:	Inglês
Publicat:	Oles Honchar Dnipro National University 2025-12-01
Col·lecció:	Researches in Mathematics
Matèries:	paley-wiener theorem hankel transform bessel function fubini's theorem entire function of exponential type half-integer order weighted space
Accés en línia:	https://vestnmath.dnu.dp.ua/index.php/rim/article/view/476/476
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