Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems
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| Creator |
Miki, H.
Goda, H. Tsujimoto, S. |
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| 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.
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| Date |
2019-02-18T11:08:31Z
2019-02-18T11:08:31Z 2012 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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