Substructures in algebras of associated homogeneous distributions on R

dc.contributor.author	Franssens, G.R.
dc.date	2012
dc.date.accessioned	2016-03-29T10:07:38Z
dc.date.available	2016-03-29T10:07:38Z
dc.identifier.uri	https://orfeo.belnet.be/handle/internal/3034
dc.description	In previous work the author constructed a convolution algebra and an isomorphic multiplication algebra of one-dimensional associated homogeneous distributions with support in R. In this paper we investigate the various algebraic substructures that can be identified in these algebras. Besides identifying ideals and giving polynomial representations for six subalgebras, it is also shown that both algebras contain an interesting Abelian subgroup, which can be used to construct generalized integration/derivation operators of complex degree on the whole line R.
dc.language	eng
dc.title	Substructures in algebras of associated homogeneous distributions on R
dc.type	Article
dc.subject.frascati	Mathematics
dc.audience	Scientific
dc.source.title	Bulletin of the Belgian Mathematical Society - Simon Stevin
dc.source.volume	19
dc.source.issue	1
dc.source.page	137-153
Orfeo.peerreviewed	Yes
dc.identifier.scopus	2-s2.0-84859501454