Analytic representation of the distributional finite Hankel transform. (1985)

• Record Type: Journal Article
• Authors: Singh, O. P.; Pathak, Ram S.
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 8:Number 2(1985)
• Page Start: 325
• Page End: 344
• Publication Date: 1985
• Subjects: Hankel transforms of generalized functions -- test function -- spaces -- Finite Hankel transform; Mathematics -- Periodicals; 510.5
• DOI: 10.1155/S0161171285000345
• Languages: English
• ISSNs: 0161-1712

Abstract

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.