Composition for a class of generalized functions in Colombeau's theory
| dc.contributor.author | Villarreal, F. [UNESP] | |
| dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
| dc.date.accessioned | 2014-05-27T11:20:20Z | |
| dc.date.available | 2014-05-27T11:20:20Z | |
| dc.date.issued | 2001-12-01 | |
| dc.description.abstract | In Colombeau's theory, given an open subset Ω of ℝn, there is a differential algebra G(Ω) of generalized functions which contains in a natural way the space D′(Ω) of distributions as a vector subspace. There is also a simpler version of the algebra G,(Ω). Although this subalgebra does not contain, in canonical way, the space D′(Ω) is enough for most applications. This work is developed in the simplified generalized functions framework. In several applications it is necessary to compute higher intrinsic derivatives of generalized functions, and since these derivatives are multilinear maps, it is necessary to define the space of generalized functions in Banach spaces. In this article we introduce the composite function for a special class of generalized mappings (defined in open subsets of Banach spaces with values in Banach spaces) and we compute the higher intrinsic derivative of this composite function. | en |
| dc.description.affiliation | Departamento de Matemática FEIS-UNESP, 15.385-000, Ilha Solteira, SP | |
| dc.description.affiliationUnesp | Departamento de Matemática FEIS-UNESP, 15.385-000, Ilha Solteira, SP | |
| dc.format.extent | 93-100 | |
| dc.identifier | http://dx.doi.org/10.1080/10652460108819302 | |
| dc.identifier.citation | Integral Transforms and Special Functions, v. 11, n. 1, p. 93-100, 2001. | |
| dc.identifier.doi | 10.1080/10652460108819302 | |
| dc.identifier.issn | 1065-2469 | |
| dc.identifier.scopus | 2-s2.0-0345820096 | |
| dc.identifier.uri | http://hdl.handle.net/11449/66647 | |
| dc.identifier.wos | WOS:000168162500007 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Integral Transforms and Special Functions | |
| dc.relation.ispartofjcr | 0.828 | |
| dc.relation.ispartofsjr | 0,819 | |
| dc.rights.accessRights | Acesso restrito | |
| dc.source | Scopus | |
| dc.subject | Composition of generalized functions | |
| dc.subject | Differential calculus in Banach spaces | |
| dc.subject | Generalized functions | |
| dc.subject | Multilinear maps | |
| dc.title | Composition for a class of generalized functions in Colombeau's theory | en |
| dc.type | Artigo | |
| dcterms.license | http://journalauthors.tandf.co.uk/permissions/reusingOwnWork.asp | |
| unesp.campus | Universidade Estadual Paulista (Unesp), Faculdade de Engenharia, Ilha Solteira | pt |