On the impossibility of the convolution of distributions

dc.contributor.author	Franssens, G.R.
dc.date	2013
dc.date.accessioned	2018-05-23T19:48:26Z
dc.date.available	2018-05-23T19:48:26Z
dc.identifier.uri	https://orfeo.belnet.be/handle/internal/6944
dc.description	Certain incompatibilities are proved related to the prolongation of an associative derivation convolution algebra, defined for a subset of distributions, to a larger subset of distributions containing a derivation and the one distribution. This result is a twin of Schwartz’ impossibility theorem, stating certain incompatibilities related to the prolongation of the multiplication product from the set of continuous functions to a larger subset of distributions containing a derivation and the delta distribution. The presented result shows that the non-associativity of a recently constructed derivation convolution algebra of associated homogeneous distributions with support in R cannot be avoided.
dc.language	eng
dc.title	On the impossibility of the convolution of distributions
dc.type	Article
dc.subject.frascati	Mathematics
dc.audience	Scientific
dc.subject.free	Generalized function
dc.subject.free	Distribution
dc.subject.free	Convolution algebra
dc.subject.free	Impossibility theorem
dc.source.title	CUBO A Mathematical Journal
dc.source.volume	15
dc.source.issue	2
dc.source.page	71-77
Orfeo.peerreviewed	Yes
dc.identifier.doi	10.4067/S0719-06462013000200007