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Discrete SLn-connections and self-adjoint difference operators on 2-dimensional manifolds

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Publication:5396395
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DOI10.1070/RM2013v068n05ABEH004859zbMath1282.39006arXiv1207.1729MaRDI QIDQ5396395

Petr G. Grinevich

Publication date: 5 February 2014

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.1729


zbMATH Keywords

Darboux transformationsdiscrete integrable systemsLaplace transformationsdiscrete connectionsdiscrete complex structuresfactorization of self-adjoint operatorsself-adjoint Schrödinger difference operatortriangulated manifolds with black and white colouring


Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Laplace transform (44A10) Discrete version of topics in analysis (39A12) Difference operators (39A70) Linear difference operators (47B39)


Related Items (2)

An algorithm for constructing Darboux transformations of type I for third-order hyperbolic operators of two variables ⋮ Darboux transformations for factorable Laplace operators




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