Generalized derivatives of spherical associated homogeneous distributions on Rn

dc.contributor.author	Franssens, G.R.
dc.date	2009
dc.date.accessioned	2016-04-05T13:14:13Z
dc.date.available	2016-04-05T13:14:13Z
dc.identifier.uri	https://orfeo.belnet.be/handle/internal/3295
dc.description	Full proofs are given of general expressions for the generalized partial derivatives of spherically symmetric associated homogeneous distributions (SAHDs) based on Rn. This work complements earlier work began by Estrada and Kanwal. Special attention is given to the cases when the derivative of the distribution is a singular distribution, being either an analytic continuation or a distributional extension (or regularization). The presented results are useful for the distributional treatment of potential (i.e., time-invariant) problems in n dimensions. © 2009 Elsevier Inc. All rights reserved.
dc.language	eng
dc.title	Generalized derivatives of spherical associated homogeneous distributions on Rn
dc.type	Article
dc.subject.frascati	Mathematics
dc.audience	Scientific
dc.source.title	Journal of Mathematical Analysis and Applications
dc.source.volume	355
dc.source.issue	2
dc.source.page	750-766
Orfeo.peerreviewed	Yes
dc.identifier.doi	10.1016/j.jmaa.2009.02.031
dc.identifier.scopus	2-s2.0-62549091867