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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

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