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Inverse spectral problems for difference operators with rational scattering matrix function

https://doi.org/10.1007/bf01679669
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1006/jdeq.1995.1064openalex-snapshot
Inverse Spectral Problem for Differential Operators with Rational Scattering Matrix Functions
inferredcites →https://doi.org/10.1007/978-1-4684-0068-7openalex-snapshot
Linear Multivariable Control: a Geometric Approach
inferredcites →https://doi.org/10.1007/978-1-4899-6790-9_15openalex-snapshot
Scattering Theory and Matrix Orthogonal Polynomials on the Real Line
inferredcites →https://doi.org/10.1007/978-3-0348-5183-1_14openalex-snapshot
Applications of Factorization and Toeplitz Operators to Inverse Problems
inferredcites →https://doi.org/10.1007/978-3-0348-5469-6_5openalex-snapshot
Unitary Rational Matrix Functions
inferredcites →https://doi.org/10.1007/978-3-0348-5483-2_5openalex-snapshot
On Applications of Reproducing Kernel Spaces to the Schur Algorithm and Rational J Unitary Factorization
inferredcites →https://doi.org/10.1007/978-3-0348-6293-6openalex-snapshot
Minimal Factorization of Matrix and Operator Functions
inferredcites →https://doi.org/10.1007/978-3-0348-7709-1openalex-snapshot
Interpolation of Rational Matrix Functions
inferredcites →https://doi.org/10.1007/bf01196878openalex-snapshot
On Hermitian block Hankel matrices, matrix polynomials, the Hamburger moment problem, interpolation and maximum entropy
inferredcites →https://doi.org/10.1007/bf01200324openalex-snapshot
State space theory of automorphisms of rational matrix functions
inferredcites →https://doi.org/10.1007/bf01599024openalex-snapshot
Scattering theory and matrix orthogonal polynomials on the real line
inferredcites →https://doi.org/10.1016/0022-1236(87)90037-1openalex-snapshot
Szegö-Kac-Achiezer formulas in terms of realizations of the symbol
inferredcites →https://doi.org/10.1016/0024-3795(94)90503-7openalex-snapshot
J-unitary preserving automorphisms of rational matrix functions: state space theory, interpolation, and factorization
inferredcites →https://doi.org/10.1090/cbms/071openalex-snapshot
𝐽 Contractive Matrix Functions, Reproducing Kernel Hilbert Spaces and Interpolation
inferredcites →https://doi.org/10.1090/mmono/017openalex-snapshot
Expansions in Eigenfunctions of Selfadjoint Operators
inferredcites →https://doi.org/10.1109/18.108254openalex-snapshot
On a generalization of the Szego-Levinson recurrence and its application in lossless inverse scattering
inferredcites →https://doi.org/10.1109/tcs.1978.1084452openalex-snapshot
Orthogonal polynomial matrices on the unit circle
inferredcites →https://doi.org/10.1137/0136004openalex-snapshot
Schur Parametrization of Positive Definite Block-Toeplitz Systems

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/1522-2616(200010)218:1<61::aid-mana61>3.0.co;2-dopenalex-snapshot
On Matrix-Valued Herglotz Functions
inferred← citeshttps://doi.org/10.1002/1522-2616(200206)239:1<103::aid-mana103>3.0.co;2-fopenalex-snapshot
Uniqueness Results for Matrix-Valued Schrödinger, Jacobi, and Dirac-Type Operators
inferred← citeshttps://doi.org/10.1002/mana.19981940108openalex-snapshot
Canonical Systems with Rational Spectral Densities: Explicit Formulas and Applications
inferred← citeshttps://doi.org/10.1002/mana.200410506openalex-snapshot
Discrete canonical system and non‐Abelian Toda lattice: Bäcklund–Darboux transformation, Weyl functions, and explicit solutions
inferred← citeshttps://doi.org/10.1002/mana.201500069openalex-snapshot
Skew‐selfadjoint Dirac systems with rational rectangular Weyl functions: explicit solutions of direct and inverse problems and integrable wave equations
inferred← citeshttps://doi.org/10.1006/jdeq.1995.1064openalex-snapshot
Inverse Spectral Problem for Differential Operators with Rational Scattering Matrix Functions
inferred← citeshttps://doi.org/10.1006/jdeq.1998.3428openalex-snapshot
Pseudo-Canonical Systems with Rational Weyl Functions: Explicit Formulas and Applications
inferred← citeshttps://doi.org/10.1006/jfan.1996.3003openalex-snapshot
Iterated Backlund–Darboux Transform for Canonical Systems
inferred← citeshttps://doi.org/10.1007/3-7643-7431-4_1openalex-snapshot
Discrete Analogs of Canonical Systems with Pseudo-exponential Potential. Definitions and Formulas for the Spectral Matrix Functions
inferred← citeshttps://doi.org/10.1007/3-7643-7547-7_2openalex-snapshot
Discrete Analogs of Canonical Systems with Pseudo-exponential Potential. Inverse Problems
inferred← citeshttps://doi.org/10.1007/978-1-4612-4120-1_1openalex-snapshot
State Space Method for Inverse Spectral Problems
inferred← citeshttps://doi.org/10.1007/978-3-031-51822-5_3openalex-snapshot
Positive Semi-Definite Matrices
inferred← citeshttps://doi.org/10.1007/978-3-0348-8323-8openalex-snapshot
Recent Advances in Operator Theory
inferred← citeshttps://doi.org/10.1007/978-3-0348-9035-9_1openalex-snapshot
Inverse Scattering Problem for Continuous Transmission Lines with Rational Reflection Coefficient Function
inferred← citeshttps://doi.org/10.1007/978-3-0348-9040-3_1openalex-snapshot
Inverse Scattering Problem for Differential Operators with Rational Scattering Matrix Functions
inferred← citeshttps://doi.org/10.1007/978-3-7643-8539-2_1openalex-snapshot
Inverse Problems for First-Order Discrete Systems
inferred← citeshttps://doi.org/10.1007/978-3-7643-8893-5_1openalex-snapshot
A Connection between Szegö and Nehari Sequences in the Matrix-valued Case
inferred← citeshttps://doi.org/10.1007/bf01192420openalex-snapshot
Connections between the Carath�odory-Toepliz and the Nehari extension problems: The discrete scalar case
inferred← citeshttps://doi.org/10.1007/bf01195588openalex-snapshot
Sturm-Liouville systems with rational Weyl functions: Explicit formulas and applications
inferred← citeshttps://doi.org/10.1007/s00009-007-0099-9openalex-snapshot
Discrete Systems and their Characteristic Spectral Functions
inferred← citeshttps://doi.org/10.1007/s00020-005-1379-zopenalex-snapshot
Interpolation, Schur Functions and Moment Problems
inferred← citeshttps://doi.org/10.1007/s11785-006-0002-xopenalex-snapshot
The Schur–Potapov Algorithm for Sequences of Complex p × q Matrices. I
inferred← citeshttps://doi.org/10.1007/s13324-023-00812-yopenalex-snapshot
Discrete Wiener algebra in the bicomplex setting, spectral factorization with symmetry, and superoscillations
inferred← citeshttps://doi.org/10.1016/j.amc.2010.08.029openalex-snapshot
On a Weyl–Titchmarsh theory for discrete symplectic systems on a half line
inferred← citeshttps://doi.org/10.1016/j.bulsci.2022.103175openalex-snapshot
Discrete analytic functions, structured matrices and a new family of moment problems
inferred← citeshttps://doi.org/10.1016/j.cam.2004.01.011openalex-snapshot
On Weyl–Titchmarsh theory for singular finite difference Hamiltonian systems
inferred← citeshttps://doi.org/10.1016/j.jde.2005.04.013openalex-snapshot
Trace formulas and Borg-type theorems for matrix-valued Jacobi and Dirac finite difference operators
inferred← citeshttps://doi.org/10.1016/j.jfa.2004.10.022openalex-snapshot
Discrete skew self-adjoint canonical system and the isotropic Heisenberg magnet model
inferred← citeshttps://doi.org/10.4007/annals.2010.171.1931openalex-snapshot
Perturbations of orthogonal polynomials with periodic recursion coefficients
inferred← citeshttps://doi.org/10.7153/oam-02-14openalex-snapshot
Weyl matrix functions and inverse problems for discrete Dirac-type self-adjoint systems: explicit and general solutions
inferred← citeshttps://doi.org/10.7153/oam-08-45openalex-snapshot
Discrete Dirac system: rectangular Weyl functions, direct and inverse problems
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