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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2024, Volume 325, Pages 190–200
DOI: https://doi.org/10.4213/tm4399 (Mi tm4399) 		 
Difference Analog of the Lamé Operator

G. S. Mauleshova, A. E. Mironov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
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DOI: https://doi.org/10.4213/tm4399
Abstract: We construct a difference analog of the Lamé operator. Namely, we present a second-order difference operator whose coefficients depend on a small parameter which commutes with a difference operator of order $2g+1$. When the small parameter tends to zero, the difference operator transforms into the Lamé operator.
Keywords: commuting difference operators, commuting differential operators.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0004
The work was performed according to the government research assignment for the Sobolev Institute of Mathematics SB RAS, project no. FWNF-2022-0004.
Received: February 29, 2024
Revised: March 18, 2024
Accepted: March 28, 2024
English version:
Proceedings of the Steklov Institute of Mathematics, 2024, Volume 325, Pages 177–187
DOI: https://doi.org/10.1134/S008154382402010X
Bibliographic databases:
Document Type: Article
UDC: 517.929.2
Language: Russian
Citation: G. S. Mauleshova, A. E. Mironov, “Difference Analog of the Lamé Operator”, Geometry, Topology, and Mathematical Physics, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 85th birthday, Trudy Mat. Inst. Steklova, 325, Steklov Mathematical Institute of RAS, Moscow, 2024, 190–200; Proc. Steklov Inst. Math., 325 (2024), 177–187
Citation in format AMSBIB
\Bibitem{MauMir24}
\by G.~S.~Mauleshova, A.~E.~Mironov
\paper Difference Analog of the Lam\'e Operator
\inbook Geometry, Topology, and Mathematical Physics
\bookinfo Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 85th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2024
\vol 325
\pages 190--200
\publ Steklov Mathematical Institute of RAS
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4399}
\crossref{https://doi.org/10.4213/tm4399}
\zmath{https://zbmath.org/?q=an:07939068}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2024
\vol 325
\pages 177--187
\crossref{https://doi.org/10.1134/S008154382402010X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85207492051}
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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