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- Institute of PhysicsPL49 papers
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5 papers · 2 filters
Weyl-Titchmarsh functions of vector-valued Sturm-Liouville operators on the unit interval
Dmitry Chelkak, Evgeny Korotyaev
The matrix-valued Weyl-Titchmarsh functions of vector-valued Sturm-Liouville operators on the unit interval with the Dirichlet boundary conditions are considered. The collec…
Inverse resonance scattering for Jacobi operators
Evgeny Korotyaev
We consider the Jacobi operator on with a real compactly supported sequences and . We give the so…
The abstract Titchmarsh-Weyl M-function for adjoint operator pairs and its relation to the spectrum
Malcolm Brown, James Hinchcliffe, Marco Marletta +2
In the setting of adjoint pairs of operators we consider the question: to what extent does the Weyl M-function see the same singularities as the resolvent of a certain restriction…
Estimates for periodic Zakharov-Shabat operators
Evgeny Korotyaev, Pavel Kargaev
We consider the periodic Zakharov-Shabat operators on the real line. The spectrum of this operator consists of intervals separated by gaps with the lengths . L…
Borg type uniqueness Theorems for periodic Jacobi operators with matrix valued coefficients
Evgeny Korotyaev, Anton Kutsenko
We give a simple proof of Borg type uniqueness Theorems for periodic Jacobi operators with matrix valued coefficients.