## An Introduction to Inverse Scattering and Inverse Spectral ProblemsHere is a clearly written introduction to three central areas of inverse problems: inverse problems in electromagnetic scattering theory, inverse spectral theory, and inverse problems in quantum scattering theory. Based on a series of lectures presented by three of the authors, the book provides a quick and easy way for readers to become familiar with the area through a survey of recent developments. |

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An Introduction to Inverse Scattering and Inverse Spectral Problems Khosrow Chadan No preview available - 1997 |

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algorithm analytic assume asymptotic behavior bound boundary conditions Cauchy data Chadan Chapter coefficients Colton compact operator complete compute constant continuous convergent corresponding defined denote density derivative determine Dirichlet domain dual space eigenfunctions eikr fact field pattern finite fixed follows formula Fourier transform Fredholm Gel’fand–Levitan given Hence Hilbert space holomorphic hyperbolic equation integral equation integral operator integral representation inverse problem inverse scattering problem inverse spectral problems inverse Sturm-Liouville problem iteration Jost function Jost solution k-plane kernel lemma linear magnetic Marchenko Math mathematical matrix Maxwell’s nonlinear norm null space obtain overposed parameter phase shift point spectrum potential Proof properties quasi-solution reconstruction result righthand S-matrix satisfies scattering data scattering theory Schrödinger equation self-adjoint operator sequence shown ſº solitary waves spectral data Sturm-Liouville problem symmetric theorem Volterra integral equation zero