Eigenfunction expansions for nondensely defined differential operators

DOI10.1016/0022-0396(75)90041-8zbMath0299.47023OpenAlexW2014148390MaRDI QIDQ1215149

Hendrik S. V. de Snoo, Aalt Dijksma

Publication date: 1975

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(75)90041-8

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) Ordinary differential operators (34L99) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items

Selfadjoint subspaces and eigenfunction expansions for ordinary differential subspaces ⋮ Self-adjoint problems for nondensely defined ordinary differential operators and their eigenfunction expansions ⋮ n-th order Stieltjes differential-boundary operators and Stieltjes differential-boundary systems ⋮ Eigenfunction expansions for a class of J-selfadjoint ordinary differential operators with boundary conditions containing the eigenvalue parameter ⋮ Singular eigenvalue problems with eigenvalue parameter contained in the boundary conditions ⋮ Self-adjoint subspace extensions satisfying λ-linear boundary conditions

Cites Work

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• Integral transforms and a class of singular S-Hermitian eigenvalue problems
• Self-adjoint subspace extensions of nondensely defined symmetric operators
• Self-adjoint problems for nondensely defined ordinary differential operators and their eigenfunction expansions
• Singuläre S-hermitesche Rand-Eigenwertprobleme
• Selfadjoint subspace extensions of nondensely defined symmetric operators
• Eigenfunction expansions for nondensely defined operators generated by symmetric ordinary differential expressions
• Extension theory of formally normal and symmetric subspaces