Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Dunkl-Type Operators with Projection Terms Associated to Orthogonal Subsystems in Root System
Репозиторій DSpace/Manakin
- Домашня сторінка
- →
- Фізико-технічні та математичні науки
- →
- Відділення математики
- →
- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік
- →
- Переглянути статтю
JavaScript is disabled for your browser. Some features of this site may not work without it.
Dunkl-Type Operators with Projection Terms Associated to Orthogonal Subsystems in Root System
Інший ID:
2010 Mathematics Subject Classification: 33C15; 33D52; 35A22
DOI: http://dx.doi.org/10.3842/SIGMA.2013.064
DOI: http://dx.doi.org/10.3842/SIGMA.2013.064
Посилання:
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.
Підтримка:
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.
Дата:
2013
Переглядів:
470
Завантажень:
219
Анотація:
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.
