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/
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spelling doaj-8d264b1f79054350af1cb058c98972ad2020-11-25T02:39:19ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592007-11-013106Biorthogonal Expansion of Non-Symmetric Jack FunctionsSiddhartha SahiGenkai ZhangWe 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.http://www.emis.de/journals/SIGMA/2007/106/non-symmetric Jack polynomials and functionsbiorthogonal expansionLaplace transformCherednik-Opdam transform
collection DOAJ
language English
format Article
sources DOAJ
author Siddhartha Sahi
Genkai Zhang
spellingShingle Siddhartha Sahi
Genkai Zhang
Biorthogonal Expansion of Non-Symmetric Jack Functions
Symmetry, Integrability and Geometry: Methods and Applications
non-symmetric Jack polynomials and functions
biorthogonal expansion
Laplace transform
Cherednik-Opdam transform
author_facet Siddhartha Sahi
Genkai Zhang
author_sort Siddhartha Sahi
title Biorthogonal Expansion of Non-Symmetric Jack Functions
title_short Biorthogonal Expansion of Non-Symmetric Jack Functions
title_full Biorthogonal Expansion of Non-Symmetric Jack Functions
title_fullStr Biorthogonal Expansion of Non-Symmetric Jack Functions
title_full_unstemmed Biorthogonal Expansion of Non-Symmetric Jack Functions
title_sort biorthogonal expansion of non-symmetric jack functions
publisher National Academy of Science of Ukraine
series Symmetry, Integrability and Geometry: Methods and Applications
issn 1815-0659
publishDate 2007-11-01
description 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.
topic non-symmetric Jack polynomials and functions
biorthogonal expansion
Laplace transform
Cherednik-Opdam transform
url http://www.emis.de/journals/SIGMA/2007/106/
work_keys_str_mv AT siddharthasahi biorthogonalexpansionofnonsymmetricjackfunctions
AT genkaizhang biorthogonalexpansionofnonsymmetricjackfunctions
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