Real inversion formula for the generalized Hankel-Clifford transformation
type: Item
instance of: scholarly article
title: Real inversion formula for the generalized Hankel-Clifford transformation
zbMATH Open document ID: 0919.44003
author: S. P. Malgonde
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1999-08-24T00:00:00Z
review text: The author derives a real inversion formula for what he says is a generalized Hankel-Clifford transformation, viz., \[ J(y)= y^{\lambda/2} \int_0^\infty \tau^{-\lambda/2} J_\lambda (2\sqrt{y\tau})j(\tau)d\tau. \] It is obviously the classical Hankel transformation for the function \(\tau^{\frac 12(\lambda+1)} j(\tau)\) with kernel \(\sqrt{y\tau} J_\lambda (2\sqrt{y\tau})\). The author extends his results to generalized functions defined over certain spaces defined by him.
reviewed by: R. P. Agarwal
Mathematics Subject Classification ID: 44A15
Mathematics Subject Classification ID: 46F12
zbMATH DE Number: 1281898
zbMATH Keywords: inversion formula
zbMATH Keywords: Hankel-Clifford transformation
zbMATH Keywords: Schwartz distribution
zbMATH Keywords: generalized functions
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1281898