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Regulated functions with values in the Banach algebra of quaternions
dc.contributor.author | Fernandes, L. A.O. | |
dc.contributor.author | Arbach, R. | |
dc.date.accessioned | 2022-04-29T08:44:27Z | |
dc.date.available | 2022-04-29T08:44:27Z | |
dc.date.issued | 2011-11-14 | |
dc.identifier.citation | Proceedings of the World Congress on Engineering 2011, WCE 2011, v. 1, p. 196-201. | |
dc.identifier.uri | http://hdl.handle.net/11449/231273 | |
dc.description.abstract | In this paper we deal with the notion of regulated functions with values in a Banach algebra A, we prove some results and present examples using quaternions. The physical meanning of this kind of functions is introduced and some particular results are presented. We consider then, the Dushnik integral for these functions and we construct a correspondent linear integral functional on the Banach algebra of all regulated functions G([a, b],A). | en |
dc.format.extent | 196-201 | |
dc.language.iso | eng | |
dc.relation.ispartof | Proceedings of the World Congress on Engineering 2011, WCE 2011 | |
dc.source | Scopus | |
dc.subject | Banach algebras | |
dc.subject | Quaternions | |
dc.subject | Regulated function | |
dc.title | Regulated functions with values in the Banach algebra of quaternions | en |
dc.type | Trabalho apresentado em evento | |
dc.contributor.institution | Universidade de São Paulo (USP) | |
dc.description.affiliation | Faculty of Engineering of Ilha Solteira State University of Sao Paulo Department of Mathematics, Ilha Solteira SP 15385-000 | |
dc.identifier.scopus | 2-s2.0-80755127026 |

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