On balanced products of the distributions $x_{\pm}^{a}$ in Colombeau algebra $\EuScript{G}(\mathbb{R})$

Simple item page
dc.creatorDamyanov, B. P.
dc.date2002-03-17
dc.date.accessioned2026-07-07T04:47:07Z
dc.date.available2026-07-07T04:47:07Z
dc.descriptionResults on products of the distributions $x_{\pm}^{a}$ and $\de^{(p)}(x)$ with coinciding singularities are derived when the products are balanced so that they exist in the distribution space. These results follow the idea of a known result on distributional products published by Jan Mikusiński in 1966. They are obtained in Colombeau algebra $\EuScript{G}(\mathbb{R})$ of generalized functions that contains the distribution space and the notion of 'association' in it allows obtaining results in terms of distributions.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0203166
dc.identifierhttp://arxiv.org/abs/math/0203166
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63584
dc.subjectFunctional Analysis
dc.subject46F30; 46F10
dc.titleOn balanced products of the distributions $x_{\pm}^{a}$ in Colombeau algebra $\EuScript{G}(\mathbb{R})$
dc.typetext

Files

Collections

arXiv