Multidimensional Toda Lattices: Continuous and Discrete Time

Скорочена інформація про документ
dc.contributor.authorAptekarev, A.I.
dc.contributor.authorDerevyagin, M.
dc.contributor.authorMiki, H.
dc.contributor.authorVan Assche, W.
dc.date.accessioned2019-02-15T19:08:57Z
dc.date.available2019-02-15T19:08:57Z
dc.date.issued2016
dc.description.abstractIn 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.sponsorshipThis 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.identifier.citationMultidimensional 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.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 42C05; 37K10; 39A14; 65Q10
dc.identifier.otherDOI:10.3842/SIGMA.2016.054
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147750
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleMultidimensional Toda Lattices: Continuous and Discrete Timeuk_UA
dc.typeArticleuk_UA

Файли

Оригінальний контейнер

Зараз показуємо 1 - 1 з 1
Ескіз
Назва:
054-Aptekarev.pdf
Розмір:
509.55 KB
Формат:
Adobe Portable Document Format
Опис:
Стаття
Завантажити

Контейнер ліцензії

Зараз показуємо 1 - 1 з 1
Ескіз
Назва:
license.txt
Розмір:
817 B
Формат:
Item-specific license agreed upon to submission
Опис:
Завантажити

Колекція

Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік