discrete spectra
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1: 1.18 Linear Second Order Differential Operators and Eigenfunction Expansions
2: 18.39 Applications in the Physical Sciences
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►An important, and perhaps unexpected, feature of the EOP’s is now pointed out by noting that for 1D Schrödinger operators, or equivalent Sturm-Liouville ODEs, having discrete spectra with eigenfunctions vanishing at the end points, in this case see Simon (2005c, Theorem 3.3, p. 35), such eigenfunctions satisfy the Sturm oscillation theorem.
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3: Bibliography H
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A fast FFT-based discrete Legendre transform.
IMA J. Numer. Anal. 36 (4), pp. 1670–1684.
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The combination of -matrix and complex coordinate methods: Application to the diamagnetic Rydberg spectra of Ba and Sr.
J. Phys. B 26 (12), pp. 1775–1790.
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Applied and Computational Complex Analysis. Vol. 3: Discrete Fourier Analysis—Cauchy Integrals—Construction of Conformal Maps—Univalent Functions.
Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons Inc.], New York.
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Explicit formulas for degenerate Bernoulli numbers.
Discrete Math. 162 (1-3), pp. 175–185.
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