Analytic representation of the distributional finite Hankel transform

O. P. Singh and Ram S. Pathak

International Journal of Mathematics and Mathematical Sciences, 1985, vol. 8, 1-20

Abstract:

Various representations of finite Hankel transforms of generalized functions are obtained. One of the representations is shown to be the limit of a certain family of regular generalized functions and this limit is interpreted as a process of truncation for the generalized functions (distributions). An inversion theorem for the gereralized finite Hankel transform is established (in the distributional sense) which gives a Fourier-Bessel series representation of generalized functions.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:802564

DOI: 10.1155/S0161171285000345

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