A polynomial-type Jost solution and spectral properties of a self-adjoint quantum-difference operator

DOI10.1007/s11785-015-0463-xzbMath1354.39012OpenAlexW823828308MaRDI QIDQ317798

Yelda Aygar, Martin J. Bohner

Publication date: 4 October 2016

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-015-0463-x

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Discrete version of topics in analysis (39A12) Difference operators (39A70)

Related Items (5)

A q-Dirac boundary value problem with eigenparameter-dependent boundary conditions ⋮ Scattering analysis of a quantum impulsive boundary value problem with spectral parameter ⋮ Extensions of the matrix-valued q−Sturm–Liouville operators ⋮ Scattering theory of impulsive Sturm-Liouville equation in quantum calculus ⋮ A research on spectral analysis of a matrix Quantum difference equations with spectral singularities

Cites Work

• Jost solution and the spectral properties of the matrix-valued difference operators
• Jost solution and the spectrum of the discrete Dirac systems
• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• An eigenfunction expansion for a quadratic pencil of a Schrödinger operator with spectral singularities
• Quadratic pencil of Schrödinger operators with spectral singularities: Discrete spectrum and principal functions
• Spectral singularities of Klein-Gordon \(s\)-wave equations with an integral boundary condition
• Spectral analysis of \(q\)-difference equations with spectral singularities
• The structure of the spectrum of a system of difference equations
• Investigation of the spectrum and the expansion in eigenfunctions of a non-selfadjoint differential operator of the second order on a semi-axis
• Spectrum and spectral expansion for the non-selfadjoint discrete Dirac operators
• Spectral properties of non-selfadjoint difference operators
• Quantum calculus
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