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Biorthogonal Expansion of Non-Symmetric Jack Functions
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3
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Biorthogonal Expansion of Non-Symmetric Jack Functions
Інший ID:
2000 Mathematics Subject Classification: 33C52; 33C67; 43A90
Посилання:
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.
Підтримка:
This paper is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson. This work was done over a period of time when both authors were visiting the Newton Institute, Cambridge UK in July 2001, the Institute of Mathematical Sciences, Singapore National University in August 2002 and MPI/HIM (Bonn) July 2007. We would like to thank the institutes for their hospitality. S. Sahi was supported by a grant from the National Science Foundation (NSF) and G. Zhang by the Swedish Research Council (VR). We dedicate this paper to the memory of our colleague and friend Tom Branson. We thank the five referees for helpful comments on an earlier version of this paper.
Дата:
2007
Переглядів:
632
Завантажень:
231
Анотація:
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 multiplied by the exponential function.
