Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Multidimensional Toda Lattices: Continuous and Discrete Time
Репозиторій DSpace/Manakin
- Домашня сторінка
- →
- Фізико-технічні та математичні науки
- →
- Відділення математики
- →
- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік
- →
- Переглянути статтю
JavaScript is disabled for your browser. Some features of this site may not work without it.
| dc.contributor.author | Aptekarev, A.I. | |
| dc.contributor.author | Derevyagin, M. | |
| dc.contributor.author | Miki, H. | |
| dc.contributor.author | Van Assche, W. | |
| dc.date.accessioned | 2019-02-15T19:08:57Z | |
| dc.date.available | 2019-02-15T19:08:57Z | |
| dc.date.issued | 2016 | |
| dc.identifier.citation | Multidimensional Toda Lattices: Continuous and Discrete Time / A.I. Aptekarev, M. Derevyagin, H. Miki, W. Van Assche // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 56 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 42C05; 37K10; 39A14; 65Q10 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2016.054 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/147750 | |
| dc.description.abstract | In this paper we present multidimensional analogues of both the continuous- and discrete-time Toda lattices. The integrable systems that we consider here have two or more space coordinates. To construct the systems, we generalize the orthogonal polynomial approach for the continuous and discrete Toda lattices to the case of multiple orthogonal polynomials. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Special Issue on Orthogonal Polynomials, Special Functions and Applications. The full collection is available at http://www.emis.de/journals/SIGMA/OPSFA2015.html. A.I. Aptekarev was supported by grant RScF-14-21-00025. M. Derevyagin thanks the hospitality of Department of Mathematics of KU Leuven, where his part of the research was initiated while he was a postdoc there. M. Derevyagin and W. Van Assche gratefully acknowledge the support of FWO Flanders project G.0934.13, KU Leuven research grant OT/12/073 and the Belgian Interuniversity Attraction Poles programme P07/18. H. Miki was supported by JSPS KAKENHI Grant Number 15K17561. Also, M. Derevyagin and H. Miki are grateful to S. Tsujimoto, L. Vinet, A. Zhedanov for valuable discussions and comments. Finally, all the authors thank the anonymous referees for their careful reading of the manuscript and for their remarks that improved the presentation of the paper. | 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 | Multidimensional Toda Lattices: Continuous and Discrete Time | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
