External Ellipsoidal Harmonics for the Dunkl-Laplacian

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2008
• Main Author: Volkmer, H.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147998
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: External Ellipsoidal Harmonics for the Dunkl-Laplacian / H. Volkmer // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 23 назв. — англ.

The paper introduces external ellipsoidal and external sphero-conal h-harmonics for the Dunkl-Laplacian. These external h-harmonics admit integral representations, and they are connected by a formula of Niven's type.