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...
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2007 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2007
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/147194 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862641434994147328 |
|---|---|
| author | Sahi, S. Zhang, G. |
| author_facet | Sahi, S. Zhang, G. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-01T04:42:22Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147194 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-01T04:42:22Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Sahi, S. Zhang, G. 2019-02-13T18:56:16Z 2019-02-13T18:56:16Z 2007 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. 1815-0659 2000 Mathematics Subject Classification: 33C52; 33C67; 43A90 https://nasplib.isofts.kiev.ua/handle/123456789/147194 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Biorthogonal Expansion of Non-Symmetric Jack Functions Article published earlier |
| spellingShingle | Biorthogonal Expansion of Non-Symmetric Jack Functions Sahi, S. Zhang, G. |
| title | 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_short | Biorthogonal Expansion of Non-Symmetric Jack Functions |
| title_sort | biorthogonal expansion of non-symmetric jack functions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147194 |
| work_keys_str_mv | AT sahis biorthogonalexpansionofnonsymmetricjackfunctions AT zhangg biorthogonalexpansionofnonsymmetricjackfunctions |