Minimal spectral functions of an ordinary differential operator

DOI10.1017/S0013091512000053zbMath1402.34020arXiv1010.1117OpenAlexW2963916937MaRDI QIDQ3167446

Vadim Mogilevskii

Publication date: 2 November 2012

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.1117

zbMATH Keywords

boundary conditionsdifferential operatorspectral multiplicitydecomposing D-boundary tripletminimal spectral function

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) General theory of ordinary differential operators (47E05) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (4)

On a generalisation of Krein's example ⋮ Spectral and pseudospectral functions of various dimensions for symmetric systems ⋮ On spectral theory for Schrödinger operators with operator-valued potentials ⋮ Donoghue-type \(m\)-functions for Schrödinger operators with operator-valued potentials

Cites Work

• On the unitary equivalence of absolutely continuous parts of self-adjoint extensions
• Boundary relations and generalized resolvents of symmetric operators
• Generalized resolvents and the boundary value problems for Hermitian operators with gaps
• Characteristic functions of almost solvable extensions of Hermitian operators
• Sturm-Liouville operators with singularities and generalized Nevanlinna functions
• Description of generalized resolvents and characteristic matrices of differential operators in terms of the boundary parameter
• Description of spectral functions of differential operators with arbitrary deficiency indices
• Titchmarsh-Weyl m -functions for second-order Sturm-Liouville problems with two singular endpoints
• On subordinacy and spectral multiplicity for a class of singular differential operators
• Spectral Analysis of Higher Order Differential Operators I: General Properties of the M -Function
• SPECTRAL OPERATORS IN A DIRECT SUM OF HILBERT SPACES
• On spectral theory for Schrödinger operators with strongly singular potentials

This page was built for publication: Minimal spectral functions of an ordinary differential operator