On characteristic matrices and eigenfunction expansions of two singular point symmetric systems

DOI10.1002/MANA.201300242zbMath1319.34148OpenAlexW2113444085MaRDI QIDQ5177984

Vadim Mogilevskii

Publication date: 9 March 2015

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201300242

zbMATH Keywords

Fourier transform\(m\)-functioncharacteristic matrixself-adjoint separated boundary conditionsfirst-order symmetric systemspectral function of a boundary problem

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) General spectral theory of ordinary differential operators (34L05) Linear symmetric and selfadjoint operators (unbounded) (47B25) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Linear boundary value problems for ordinary differential equations (34B05) Linear relations (multivalued linear operators) (47A06)

Related Items (2)

Spectral theory for systems of ordinary differential equations with distributional coefficients ⋮ On couplings of symmetric operators with possibly unequal and infinite deficiency indices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Boundary relations and generalized resolvents of symmetric operators
• Linear relations in a space of vector functions
• Generalized resolvents and the boundary value problems for Hermitian operators with gaps
• Selfadjoint subspaces and eigenfunction expansions for ordinary differential subspaces
• On the deficiency indices and self-adjointness of symmetric Hamiltonian systems
• On Titchmarsh-Weyl functions and eigenfunction expansions of first-order symmetric systems
• Description of spectral functions of differential operators with arbitrary deficiency indices
• Square-integrable solutions and Weyl functions for singular canonical systems
• On a formula of the generalized resolvents of a nondensely defined Hermitian operator
• Parameterization of the M(λ) function for a Hamiltonian system of limit circle type
• $M(\lambda )$ Theory for Singular Hamiltonian Systems with Two Singular Points
• Two singular point linear Hamiltonian systems with an interface condition
• 1.—On Square-integrable Solutions of Symmetric Systems of Differential Equations of Arbitrary Order.
• Parametrizations of Titchmarsh's m(λ)-Functions in the Limit Circl Case
• Eigenvalues and Pole Functions of Hamiltonian Systems with Eigenvalue Depending Boundary Conditions
• On the Titchmarsh‐Weyl Coefficients for Singular S‐Hermitian Systems I
• Boundary pairs and boundary conditions for general (not necessarily definite) first‐order symmetric systems with arbitrary deficiency indices
• $M(\lambda )$ Theory for Singular Hamiltonian Systems with One Singular Point
• REPRESENTATION OF HERMITIAN OPERATORS WITH IMPROPER SCALE SUBSPACE

This page was built for publication: On characteristic matrices and eigenfunction expansions of two singular point symmetric systems