On the generalized Hankel type integral transformation of generalized functions
type: Item
instance of: scholarly article
title: On the generalized Hankel type integral transformation of generalized functions
zbMATH Open document ID: 0962.46031
author: S. P. Malgonde
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2000-08-10T00:00:00Z
review text: In this paper a Hankel type integral transform depending on three real parameters (so that many of the existing generalized Hankel type integral transforms become special cases of this) is extended using kernel method to certain spaces of generalized functions. An inversion theorem is also obtained using distributional convergence. The theory is then applied to solve a certain differential equation with a given generalized function for the initial condition.
Mathematics Subject Classification ID: 46F12
zbMATH DE Number: 1488412
zbMATH Keywords: Hankel type integral transform
zbMATH Keywords: spaces of generalized functions
reviewed by: V. Karunakaran
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1488412