Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік
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dc.contributor.author	Miki, H.
dc.contributor.author	Goda, H.
dc.contributor.author	Tsujimoto, S.
dc.date.accessioned	2019-02-18T11:08:31Z
dc.date.available	2019-02-18T11:08:31Z
dc.date.issued	2012
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 42C05; 35C05; 37K60; 15B52
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2012.008
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148373
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA