Biorthogonal Expansion of Non-Symmetric Jack Functions

Details Biorthogonal Expansion of Non-Symmetric Jack Functions Biorthogonal Expansion of Non-Symmetric Jack Functions

2007-11-15

arxiv.org/abs/0711.2401v1

SIGMA 3 (2007), 106, 9 pages

Mathematics

Classical Analysis and ODEs

This is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson, published in

Scientific paper

10.3842/SIGMA.2007.106

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.

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