Biorthogonal Expansion of Non-Symmetric Jack Functions

Biorthogonal Expansion of Non-Symmetric Jack Functions

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...

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Bibliographic Details
Main Authors: Siddhartha Sahi, Genkai Zhang
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2007-11-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
non-symmetric Jack polynomials and functions
biorthogonal expansion
Laplace transform
Cherednik-Opdam transform
Online Access:http://www.emis.de/journals/SIGMA/2007/106/
Description
Summary: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.
ISSN:1815-0659

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