The convolution of associated homogeneous distributions on R-Part I

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/3250
dc.description	This is the first in a series of two papers in which we construct a convolution product for associated homogeneous distributions (AHDs) with support in R. In this article, we show that if fa and gb are AHDs with degrees of homogeneity a - 1 and b - 1, the convolution fa * gb exists as an AHD, provided the resulting degree of homogeneity a + b - 1 is not a natural number. Under this restriction, it is found that the convolution product of AHDs is bilinear, bicontinuous and associative. New convolution products are derived for several basis AHDs such as half-line distributions, associated Riesz distributions and associated generalizations of Heisenberg distributions.
dc.language	eng
dc.title	The convolution of associated homogeneous distributions on R-Part I
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	309-331
Orfeo.peerreviewed	Yes
dc.identifier.doi	10.1080/00036810902766674
dc.identifier.scopus	2-s2.0-67651210819