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http://hdl.handle.net/10773/16279
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DC Field | Value | Language |
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dc.contributor.author | Vieira, Nelson Felipe Loureiro | pt |
dc.date.accessioned | 2016-11-14T15:03:19Z | - |
dc.date.available | 2016-11-14T15:03:19Z | - |
dc.date.issued | 2015-08 | - |
dc.identifier.issn | 1611-4086 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/16279 | - |
dc.description.abstract | What is nowadays called (classic) Clifford analysis consists in the establishment of a function theory for functions belonging to the kernel of the Dirac operator. While such functions can very well describe problems of a particle with internal $SU(2)$-symmetries, higher order symmetries are beyond this theory. Although many modifications (such as Yang-Mills theory) were suggested over the years they could not address the principal problem, the need of a $n$-fold factorization of the d'Alembert operator. In this paper we present the basic tools of a fractional function theory in higher dimensions, for the transport operator $(\alpha =\alfa)$, by means of a fractional correspondence to the Weyl relations via fractional Riemann-Liouville derivatives. A Fischer decomposition, fractional Euler and Gamma operators, monogenic projection, and basic fractional homogeneous powers are constructed. | pt |
dc.language.iso | eng | pt |
dc.publisher | Bauhaus-University Weimar | pt |
dc.relation | FCT - UID/MAT/0416/2013 | pt |
dc.relation | FCT - IF/00271/2014 | pt |
dc.rights | openAccess | por |
dc.subject | Fractional monogenic polynomials | pt |
dc.subject | Fischer decomposition | pt |
dc.subject | Fractional Dirac operator | pt |
dc.subject | Riemann-Liouville fractional derivative | pt |
dc.subject | Stationary transport operator | pt |
dc.title | Some results in fractional Clifford analysis | pt |
dc.type | conferenceObject | pt |
dc.peerreviewed | yes | pt |
ua.publicationstatus | published | - |
ua.event.date | 20-22 julho, 2015 | - |
ua.event.type | conference | - |
degois.publication.firstPage | 212 | pt |
degois.publication.lastPage | 217 | pt |
degois.publication.title | Proceedings of the 20th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering | pt |
dc.relation.publisherversion | https://e-pub.uni-weimar.de/opus4/frontdoor/index/index/docId/2451 | pt |
Appears in Collections: | CIDMA - Comunicações CHAG - Comunicações |
Files in This Item:
File | Description | Size | Format | |
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Artigo33a_VF.pdf | 296.54 kB | Adobe PDF | View/Open |
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