Commutative rings of ordinary linear differential operators

DOI10.1007/BF01681429zbMath0408.34008MaRDI QIDQ4195243

I. M. Krichever

Publication date: 1978

Published in: Functional Analysis and Its Applications (Search for Journal in Brave)

zbMATH Keywords

analytic constructionalgebraic spectral datacommutative ordinary differential operatorsliner differential equations

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Linear ordinary differential equations and systems (34A30) Commutative Banach algebras and commutative topological algebras (46J99)

Related Items (33)

The AKNS hierarchy and finite-gap Schrödinger potentials ⋮ Common eigenfunctions of commuting differential operators of rank 2 ⋮ Commuting differential operators of rank 2 with polynomial coefficients ⋮ Alternative proof of Mironov's results on commuting self-adjoint operators of rank 2 ⋮ Commuting pairs of linear ordinary differential operators of orders four and six ⋮ Matrix integrals, Toda symmetries, Virasoro constraints, and orthogonal polynomials ⋮ On rings of commuting partial differential operators ⋮ On commutative subalgebras of the Weyl algebra related to commuting operators of arbitrary rank and genus ⋮ Burchnall-Chaundy polynomials for matrix ODOs and Picard-Vessiot theory ⋮ The Schur-Sato theory for quasi-elliptic rings ⋮ An algorithm for construction of commuting ordinary differential operators by geometric data ⋮ Deformation quantization and the action of Poisson vector fields ⋮ Surprising examples of nonrational smooth spectral surfaces ⋮ On divisors of small canonical degree on Godeaux surfaces ⋮ Baxter's equations and algebraic geometry ⋮ On commuting differential operators of rank 2 ⋮ Unnamed Item ⋮ Commuting differential operators of rank 2 with trigonometric coefficients ⋮ Algebraic Geometric Properties of Spectral Surfaces of Quantum Integrable Systems and Their Isospectral Deformations ⋮ Commuting Krichever-Novikov differential operators with polynomial coefficients ⋮ Commuting differential operators of rank 2 with rational coefficients ⋮ Unnamed Item ⋮ Centralizers of rank one in the first Weyl algebra ⋮ Fourier–Mukai transform on Weierstrass cubics and commuting differential operators ⋮ Holomorphic bundles over Riemann surfaces and the Kadomtsev-Petviashvili equation. I ⋮ Self-adjoint commuting ordinary differential operators ⋮ Commuting ordinary differential operators and the Dixmier test ⋮ Rational solutions for the equation of commutation of differential operators ⋮ Fuchsian bispectral operators ⋮ A New Approach to the Boussinesq Hierarchy ⋮ Quantization of finite-gap potentials and nonlinear quasiclassical approximation in nonperturbative string theory ⋮ Self-adjoint commuting differential operators of rank 2 and their deformations given by soliton equations ⋮ Spectral Picard-Vessiot fields for algebro-geometric Schrödinger operators

This page was built for publication: Commutative rings of ordinary linear differential operators