An analogue of the Paley-Wiener theorem for the Hankel type transform in weighted L2-spaces

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Ruslan Khats'

Abstract

In this paper, we establish some analogues of the Paley-Wiener theorem for the Hankel type transform of half-integer order less than -1 in weighted L2-spaces. These Paley-Wiener-type theorems gives a description of the class of even entire functions of exponential type σ ≤ 1 under this transformation in terms of solutions from the corresponding spaces of some differential equations.

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How to Cite
Khats’, R. (2024). An analogue of the Paley-Wiener theorem for the Hankel type transform in weighted L2-spaces. Gulf Journal of Mathematics, 17(1), 1-11. https://doi.org/10.56947/gjom.v17i1.1663
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