On commuting ordinary differential operators with polynomial coefficients corresponding to spectral curves of genus two

DOI10.4134/BKMS.b160685zbMath1398.37072arXiv1606.01346OpenAlexW2964249859MaRDI QIDQ4691269

V. N. Davletshina, Andrey E. Mironov

Publication date: 19 October 2018

Full work available at URL: https://arxiv.org/abs/1606.01346

zbMATH Keywords

Weyl algebracommuting ordinary differential operators

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Spectral theory of functional-differential operators (34K08)

Related Items

Centralizers of rank one in the first Weyl algebra ⋮ Commuting ordinary differential operators and the Dixmier test

Cites Work

• Unnamed Item
• Commuting differential operators of rank 2 with polynomial coefficients
• Commuting differential operators of rank 2 with trigonometric coefficients
• Self-adjoint commuting ordinary differential operators
• Periodic and rapid decay rank two self-adjoint commuting differential operators
• Commuting ordinary differential operators of arbitrary genus and arbitrary rank with polynomial coefficients
• Commuting Ordinary Differential Operators with Polynomial Coefficients and Automorphisms of the First Weyl Algebra
• Sur les algèbres de Weyl

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