Direct and inverse problems for a periodic Jacobi matrix

DOI10.1007/BF01056656zbMath0645.47043OpenAlexW2077253013MaRDI QIDQ1103175

N. V. Zhernakov

Publication date: 1986

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01056656

zbMATH Keywords

spectral functionperiodic Jacobi matrixGel'fand-Levitan- Marchenko-theory on Sturm-Liouville operatorsinverse problem for a second order difference operator with periodic coefficients

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55) Linear difference operators (47B39) Ordinary differential operators (34L99)

Related Items (4)

Integration of Toda chains in the class of Hilbert-Schmidt operators ⋮ On the spectrum of a matrix pencil and two-side infinite periodic Jacobi matrices ⋮ Periodic Jacobi operators with complex coefficients ⋮ Integration of some differential-difference nonlinear equations using the spectral theory of normal block Jacobi matrices

Cites Work

• Theory of nonlinear lattices
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