
The authors used sampling techniques to reconstruct the charateristic function associated with the eigenvalues of two linked Sturm-Liouville operators by a transmission condition. The particular case when the transmission matrix is the identity yields the well-known miss-distance function which is used in the computation of eigenvalues by shooting methods.
sampling, Paley-Wiener spaces, Applied Mathematics, transmission, eigenvalues, Sturm-Liouville operators, shooting methods, Sturm–Liouville operators, Paley–Wiener spaces, Sturm-Liouville theory, Miss-distance function, Transmission, Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators, Sampling, Numerical solution of eigenvalue problems involving ordinary differential equations, miss-distance function, Analysis
sampling, Paley-Wiener spaces, Applied Mathematics, transmission, eigenvalues, Sturm-Liouville operators, shooting methods, Sturm–Liouville operators, Paley–Wiener spaces, Sturm-Liouville theory, Miss-distance function, Transmission, Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators, Sampling, Numerical solution of eigenvalue problems involving ordinary differential equations, miss-distance function, Analysis
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