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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2012 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2012
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/148373 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862732652609536000 |
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| author | Miki, H. Goda, H. Tsujimoto, S. |
| author_facet | Miki, H. Goda, H. Tsujimoto, S. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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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| first_indexed | 2025-12-07T19:33:14Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-148373 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:33:14Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Miki, H. Goda, H. Tsujimoto, S. 2019-02-18T11:08:31Z 2019-02-18T11:08:31Z 2012 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 https://nasplib.isofts.kiev.ua/handle/123456789/148373 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. The authors would like to thank the Centre de recherches math´ematiques (CRM) for its hospitality. The work of H.M. is partially supported by a Grant-in-Aid for Japan Society for the
 Promotion of Science (JSPS) Fellows. The research of S.T. is supported in part by KAKENHI (22540224). The authors should like to thank the referees for the careful reading of the
 manuscript and a lot of helpful suggestions and comments. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems Article published earlier |
| spellingShingle | Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems Miki, H. Goda, H. Tsujimoto, S. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148373 |
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