Analytic representation of the distributional finite Hankel transform
Om Prakash Singh, Ram Shankar Pathak · International Journal of Mathematics and Mathematical Sciences · 1985
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.