Effective Inverse Spectral Problem for Rational Lax Matrices and Applications

DOI10.1093/imrn/rnm103zbMath1133.37028arXiv0705.0120OpenAlexW1994824116MaRDI QIDQ5439950

Marco Bertola, Michael I. Gekhtman

Publication date: 30 January 2008

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.0120

zbMATH Keywords

spectral curvelarge degree asymptoticselementary twistsfinite-band recurrenceorthogonal and biorthogonal polynomialssequences of Lax matrices

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50)

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