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Showing 2003 · math-phShow all
3 papers · 2 filters
math-ph2003★ 6 cited
One-dimensional inverse scattering and spectral problems
Alexander G. Ramm
Inverse scattering and spectral one-dimensional problems are discussed systematically in a self-contained way. Many novel results, due to the author are presented. The classical re…
math-ph2003★ 14 cited
On the discrepancy principle
A. G. Ramm
A simple proof of the convergence of the variational regularization, with the regularization parameter, chosen by the discrepancy principle, is given for linear operators under sui…
math-ph2003
Applic. Analysis, 81, N4, (2002), 929-937
A. G. Ramm
Completeness of the set of products of the derivatives of the solutions to the equation is proved. This property is used to prove the uniqueness of the solu…