Sampling theorems associated with fourth- and higher-order self-adjoint eigenvalue problems

DOI10.1016/0377-0427(92)00010-7zbMath0808.34091OpenAlexW2004195216MaRDI QIDQ1334855

Paul L. Butzer, G. Nasri-Roudsari

Publication date: 26 September 1994

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(92)00010-7

zbMATH Keywords

sampling seriesLagrange interpolation seriesfourth- order eigenvalue problemKramer's generalized sampling theoremregular selfadjoint boundary eigenvalue problems for ordinary differential equations

Mathematics Subject Classification ID

Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (18)

A problem of L. L. Campbell on the equivalence of the Kramer and Shannon sampling theorems ⋮ One and multidimensional sampling theorems associated with Dirichlet problems ⋮ Sampling in Paley-Wiener spaces associated with fractional integro-differential operators ⋮ Kramer-type sampling theorems associated with higher-order differential equations ⋮ Sampling of vector-valued transforms associated with Green's matrix of Dirac systems ⋮ \(q\)-type sampling theorems ⋮ Lagrange interpolation and boundary-value problems ⋮ A perturbed Whittaker-Kotel'nikov-Shannon sampling theorem ⋮ A sampling theorem for transforms with discontinuous kernels ⋮ Sampling theorem for bandlimited Hardy space functions generated by Regge problem ⋮ Orthogonal polynomial solutions of linear ordinary differential equations ⋮ An appreciation of Paul Butzer's work in signal theory ⋮ On the use of Green's function in sampling theory ⋮ A note on the analytic form of the Kramer sampling theorem ⋮ Discontinuous boundary-value problems: expansion and sampling theorems ⋮ SAMPLING AND BIRKHOFF REGULAR PROBLEMS ⋮ Finite lagrange and cauchy sampling expansions associated with regular difference equations^∗ ⋮ SAMPLING AND ODD ORDER PROBLEMS

Cites Work

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• Differential operators and the Legendre type polynomials
• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• The sampling theorem and linear prediction in signal analysis
• On Lagrange interpolations and Kramer's sampling theorem associated with self-adjoint boundary value problems
• On the completeness of eigenfunctions of some higher order operators
• On Kramer’s Sampling Theorem Associated with General Sturm-Liouville Problems and Lagrange Interpolation
• On Lagrange Interpolation and Kramer-Type Sampling Theorems Associated with Sturm–Liouville Problems
• ON SOME PROPERTIES OF THE LEGENDRE TYPE DIFFERENTIAL EXPRESSION
• Five short stories about the cardinal series
• Analytical Methods for Recovering Coefficients in Differential Equations from Spectral Data
• Orthogonal polynomials satisfying fourth order differential equations
• Some orthogonal and complete sets of Bessel functions associated with the vibrating plate
• A Comparison of the Sampling Theorems of Kramer and Whittaker
• A Generalized Sampling Theorem
• On the Lateral Vibration of Conical Bars
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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