A spectral representation on ordinary linear difference equation with operator-valued coefficients of the second order

DOI10.1063/1.523018zbMath0333.47015OpenAlexW2061010721MaRDI QIDQ4100568

Masahisa Fukushima

Publication date: 1976

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.523018

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05) Additive difference equations (39A10) Linear difference operators (47B39)

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On Weyl-Titchmarsh theory for singular finite difference Hamiltonian systems ⋮ On a Weyl-Titchmarsh theory for discrete symplectic systems on a half line ⋮ Perturbations of orthogonal polynomials with periodic recursion coefficients ⋮ Geometry of Weyl theory for Jacobi matrices with matrix entries ⋮ Transfer matrices for discrete Hermitian operators and absolutely continuous spectrum ⋮ Trace formulas and Borg-type theorems for matrix-valued Jacobi and Dirac finite difference operators

Cites Work

• The Eigenvalue Problem for Ordinary Differential Equations of the Second Order and Heisenberg's Theory of S-Matrices
• On Ordinary Differential Equations of any Even Order and the Corresponding Eigenfunction Expansions