scientific article; zbMATH DE number 1149961

zbMath0908.47058MaRDI QIDQ4387375

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Publication date: 18 March 1999

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zbMATH Keywords

algebraic curvesalgebraic vector bundlejoint eigenfunctionBaker functionlinear ordinary differential operatorseigenvalue functionsadelic Grassmanniancommutative algebras of linear operatorseigenvalue and spectral problemsrank 1 bispectral commutative operator algebrastorsionfree coherent sheaf

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Eigenvalue problems for linear operators (47A75) General theory of ordinary differential operators (47E05) Abstract operator algebras on Hilbert spaces (47L30) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Ergodic theorems, spectral theory, Markov operators (37A30) Applications of operator theory to differential and integral equations (47N20) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

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The matrix Bochner problem

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