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- W2060479535 abstract "We give here some negative results in Sturm-Liouville inverse theory, meaning that we cannot approach any of the potentials with $m+1$ integrable derivatives on $mathbb{R}^+$ by an $omega$-parametric analytic family better than order of $(omegalnomega)^{-(m+1)}$. Next, we prove an estimation of the eigenvalues and characteristic values of a Sturm-Liouville operator and some properties of the solution of a certain integral equation. This allows us to deduce from [Henkin-Novikova] some positive results about the best reconstruction formula by giving an almost optimal formula of order of $omega^{-m}$." @default.
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- W2060479535 date "2007-02-15" @default.
- W2060479535 modified "2023-09-26" @default.
- W2060479535 title "An application of approximation theory by nonlinear manifolds in Sturm–Liouville inverse problems" @default.
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- W2060479535 doi "https://doi.org/10.1088/0266-5611/23/2/006" @default.
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