A generalized inversion formula for the continuous Jacobi transform

Ahmed I. Zayed

International Journal of Mathematics and Mathematical Sciences, 1987, vol. 10, 1-22

Abstract:

In this paper we extend the definition of the continuous Jacobi transform to a class of generalized functions and obtain a generalized inversion formula for it. As a by-product of our technique we obtain a necessary and sufficient condition for an analytic function F ( λ ) in Re λ > 0 to be the continuous Jacobi transform of a generalized function.

Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:809132

DOI: 10.1155/S0161171287000796

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