Generalized hankel transform no space: Integral Transforms and Special Functions: Vol 9, No 4

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Abstract

The paper is devoted to study the integral transform

with the Bessel function of the first kind

in the kernel on the space

functions f such that

Mapping properties such as the boundedness the representation and the range of the transform

are given and its inversion is proved . The special case of the modified Hankel transform is considered.

Keywords:

MSC(1991):

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Generalized hankel transform no space

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Generalized hankel transform no space

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