A generalization of M. G. Krein's method of directing functional to linear relations

DOI10.1017/S030821050001057XzbMath0442.47018MaRDI QIDQ3884673

Heinz K. Langer, Björn Textorius

Publication date: 1978

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

method of directing functionalsStieltjes differential boundary problems

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (7)

On the deficiency indices and self-adjointness of symmetric Hamiltonian systems ⋮ Selbstadjungierte Relations-Erweiterungen für eine Klasse von symmetrischen Differential-Funktional-Operatoren ⋮ Directing Functionals and De Branges Space Completions in Almost Pontryagin Spaces ⋮ Pointwise convergence of eigenfunction expansions, associated with a pair of ordinary differential expressions ⋮ Spectral theory for systems of ordinary differential equations with distributional coefficients ⋮ Integral representation of Hermitian positive-matrix kernels of special structure ⋮ Spectral functions of a symmetric linear relation with a directing mapping, I

Cites Work

• Unnamed Item
• Self-adjoint extensions of symmetric subspaces
• Selfadjoint subspaces and eigenfunction expansions for ordinary differential subspaces
• Self-adjoint problems for nondensely defined ordinary differential operators and their eigenfunction expansions
• On generalized resolvents and \(Q\)-functions of symmetric linear relations (subspaces) in Hilbert space
• n-th order Stieltjes differential-boundary operators and Stieltjes differential-boundary systems
• Über die Methode der richtenden Funktionale von M. G. Krein

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