Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems
Discrete spectral transformations of skew orthogonal polynomials are presented. From these spectral transformations, it is shown that the corresponding discrete integrable systems are derived both in 1+1 dimension and in 2+1 dimension. Especially in the (2+1)-dimensional case, the corresponding syst...
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| Дата: | 2012 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2012
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148373 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems / H. Miki, H. Goda, S. Tsujimoto // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 27 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-148373 |
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dspace |
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irk-123456789-1483732019-02-19T01:28:47Z Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems Miki, H. Goda, H. Tsujimoto, S. Discrete spectral transformations of skew orthogonal polynomials are presented. From these spectral transformations, it is shown that the corresponding discrete integrable systems are derived both in 1+1 dimension and in 2+1 dimension. Especially in the (2+1)-dimensional case, the corresponding system can be extended to 2×2 matrix form. The factorization theorem of the Christoffel kernel for skew orthogonal polynomials in random matrix theory is presented as a by-product of these transformations. 2012 Article Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems / H. Miki, H. Goda, S. Tsujimoto // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 27 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 42C05; 35C05; 37K60; 15B52 DOI: http://dx.doi.org/10.3842/SIGMA.2012.008 http://dspace.nbuv.gov.ua/handle/123456789/148373 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Discrete spectral transformations of skew orthogonal polynomials are presented. From these spectral transformations, it is shown that the corresponding discrete integrable systems are derived both in 1+1 dimension and in 2+1 dimension. Especially in the (2+1)-dimensional case, the corresponding system can be extended to 2×2 matrix form. The factorization theorem of the Christoffel kernel for skew orthogonal polynomials in random matrix theory is presented as a by-product of these transformations. |
| format |
Article |
| author |
Miki, H. Goda, H. Tsujimoto, S. |
| spellingShingle |
Miki, H. Goda, H. Tsujimoto, S. Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Miki, H. Goda, H. Tsujimoto, S. |
| author_sort |
Miki, H. |
| title |
Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems |
| title_short |
Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems |
| title_full |
Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems |
| title_fullStr |
Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems |
| title_full_unstemmed |
Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems |
| title_sort |
discrete spectral transformations of skew orthogonal polynomials and associated discrete integrable systems |
| publisher |
Інститут математики НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148373 |
| citation_txt |
Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems / H. Miki, H. Goda, S. Tsujimoto // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 27 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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2023-05-20T17:30:04Z |
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