The convolution of associated homogeneous distributions on R-Part II

dc.contributor.author	Franssens, G.R.
dc.date	2009
dc.date.accessioned	2016-04-05T10:30:19Z
dc.date.available	2016-04-05T10:30:19Z
dc.identifier.uri	https://orfeo.belnet.be/handle/internal/3251
dc.description	This is the second in a series of two papers in which we construct a convolution product for the set H' (R) of associated homogeneous distributions (AHDs) with support in R. In Part I we showed that if f a and gb are AHDs with degrees of homogeneity a - 1 and b - 1, the convolution fa * gb exists as an AHD, if the resulting degree of homogeneity a + b-1 N. In this article, we develop a functional extension process, based on the Hahn-Banach theorem, to give a meaning to the convolution product of two AHDs of degrees a - 1 and b - 1, in the critical case that a + b - 1 N. With respect to this construction, the structure (H'(R), *) is shown to be closed.
dc.language	eng
dc.title	The convolution of associated homogeneous distributions on R-Part II
dc.type	Article
dc.subject.frascati	Mathematics
dc.audience	Scientific
dc.source.title	Applicable Analysis
dc.source.volume	88
dc.source.issue	3
dc.source.page	333-356
Orfeo.peerreviewed	Yes
dc.identifier.doi	10.1080/00036810802713776
dc.identifier.scopus	2-s2.0-67651227278