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Dunkl-Type Operators with Projection Terms Associated to Orthogonal Subsystems in Root System
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
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| dc.contributor.author | Bouzeffour, F. | |
| dc.date.accessioned | 2019-02-21T07:10:44Z | |
| dc.date.available | 2019-02-21T07:10:44Z | |
| dc.date.issued | 2013 | |
| dc.identifier.citation | Dunkl-Type Operators with Projection Terms Associated to Orthogonal Subsystems in Root System / F. Bouzeffour // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 15 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 33C15; 33D52; 35A22 | |
| dc.identifier.other | DOI: http://dx.doi.org/10.3842/SIGMA.2013.064 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/149356 | |
| dc.description.abstract | In this paper, we introduce a new differential-difference operator Tξ (ξ∈RN) by using projections associated to orthogonal subsystems in root systems. Similarly to Dunkl theory, we show that these operators commute and we construct an intertwining operator between Tξ and the directional derivative ∂ξ. In the case of one variable, we prove that the Kummer functions are eigenfunctions of this operator. | uk_UA |
| dc.description.sponsorship | This research is supported by NPST Program of King Saud University, project number 10- MAT1293-02. I would like to thank the editor and the anonymous referees for their helpful comments and remarks. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Dunkl-Type Operators with Projection Terms Associated to Orthogonal Subsystems in Root System | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
