Dunkl-Type Operators with Projection Terms Associated to Orthogonal Subsystems in Root System
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Dunkl-Type Operators with Projection Terms Associated to Orthogonal Subsystems in Root System
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| Creator |
Bouzeffour, F.
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| Description |
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.
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| Date |
2019-02-21T07:10:44Z
2019-02-21T07:10:44Z 2013 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 33C15; 33D52; 35A22 DOI: http://dx.doi.org/10.3842/SIGMA.2013.064 http://dspace.nbuv.gov.ua/handle/123456789/149356 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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