Paley-Wiener-type theorems for the Hankel transform of positive half-integer order in weighted $L^2$-spaces
Year: 2025
Type: article
Abstract: 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 $\sigma \leqslant 1$ under this transformation and provide methods to constructing such a kind of Hankel transforms in terms of solutions from the corresponding spaces of some differential equations.
Source: Researches in Mathematics
DOI: 10.15421/242526
Author: R.V. Khats'
Institution: Drohobych Ivan Franko State Pedagogical University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $20
OpenAlex ID: W7127375237
FWCI:
Cites:
Cited by:
Related to: