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The filter-diagonalization method of Wall and Neuhauser for harmonic inversion of a complex time signal, C(t)0ex0ex=0ex0exΣk^dₖe^-itωₖ, is simplified by introducing a different boxlike filter and is reformulated to the case of a signal given on a sparse equidistant time grid. The method is applied to the large scale quantum dynamics problem of extracting hundreds of (narrow and overlapping) resonances of the H₃⁺ molecular ion directly from a single signal, cₙ0ex0ex=0ex0ex(Φ₀,Tₙ(^H)Φ₀), generated by the dynamical system governed by a modified Chebyshev recursion.
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Mandelshtam et al. (1997) studied this question.
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