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One-point commuting difference operators of rank one and their relation with finite-gap Schrödinger operators

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Publication:1643777
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DOI10.1134/S1064562418010209OpenAlexW2791389398MaRDI QIDQ1643777

Gulnara S. Mauleshova, Andrey E. Mironov

Publication date: 20 June 2018

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562418010209


Mathematics Subject Classification ID

Operator theory (47-XX) Numerical analysis (65-XX)


Related Items

One-dimensional finite-gap Schrödinger operators as a limit of commuting difference operators, The dressing chain and one-point commuting difference operators of rank 1, Periodic One-Point Rank One Commuting Difference Operators



Cites Work

  • Unnamed Item
  • One-point commuting difference operators of rank 1
  • Commuting difference operators of rank two
  • NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES
  • ALGEBRAIC CURVES AND NON-LINEAR DIFFERENCE EQUATIONS
  • Two-dimensionalized Toda lattice, commuting difference operators, and holomorphic bundles
  • Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra
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