Biorthogonal Expansion of Non-Symmetric Jack Functions

• Datum: 2007
• Hauptverfasser: Sahi, S., Zhang, G.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут математики НАН України 2007
• Schriftenreihe: Symmetry, Integrability and Geometry: Methods and Applications
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/147194
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Biorthogonal Expansion of Non-Symmetric Jack Functions / S. Sahi, G. Zhang // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 15 назв. — англ.

We find a biorthogonal expansion of the Cayley transform of the non-symmetric Jack functions in terms of the non-symmetric Jack polynomials, the coefficients being Meixner-Pollaczek type polynomials. This is done by computing the Cherednik-Opdam transform of the non-symmetric Jack polynomials multip...