Pointwise convergence of eigenfunction expansions, associated with a pair of ordinary differential expressions
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Publication:3337764
DOI10.1017/S0308210500031838zbMath0546.34017MaRDI QIDQ3337764
Aalt Dijksma, Hendrik S. V. de Snoo, Earl A. Coddington
Publication date: 1984
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) Ordinary differential operators (34L99)
Related Items (2)
On uniform convergence of the inverse Fourier transform for differential equations and Hamiltonian systems with degenerating weight ⋮ Boundary eigenvalue problems for differential equations \(N\eta=\lambda P\eta\) with \(\lambda\)-polynomial boundary conditions
Cites Work
- Pointwise convergence of eigenfunction expansions associated with ordinary differential operators
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- On generalized resolvents and \(Q\)-functions of symmetric linear relations (subspaces) in Hilbert space
- Positive selfadjoint extensions of positive symmetric subspaces
- Differential subspaces associated with pairs of ordinary differential expressions
- Adjoint subspaces in Banach spaces, with applications to ordinary differential subspaces
- Spectral measures, generalized resolvents, and functions of positive type
- Spectral functions of a symmetric linear relation with a directing mapping, I
- Eigenfunction expansions for a class of J-selfadjoint ordinary differential operators with boundary conditions containing the eigenvalue parameter
- A generalization of M. G. Krein's method of directing functional to linear relations
- Eigenfunction Expansions for a Singular Eigenvalue Problem with Eigenparameter in the Boundary Condition
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