Abstract
Historically, the methods which will be described in this chapter rank among the first to be discovered for the inversion of continuous systems. We have delayed their introduction in this book because of their inherent difficulty. Even now we shall not present them in their historical order, nor do so with any great generality or rigour. Numerous general and rigourous presentations have already been given; what appears to be lacking is a simple introduction, and it is this which we are aiming to give. We will start with the Krein integral equation, because conceptually it is the simplest; then we will present the Gel’fand-Levitan, Marchenko and Gopinath-Sondhi equations.
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Antony and Cleopatra. Act IV, Scene 4.
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© 1993 Springer Science+Business Media Dordrecht
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Gladwell, G.M.L. (1993). Inversion of Continuous Systems Using Non-Causal Solutions. In: Inverse Problems in Scattering. Solid Mechanics and its Applications, vol 23. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2046-3_6
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DOI: https://doi.org/10.1007/978-94-011-2046-3_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4906-1
Online ISBN: 978-94-011-2046-3
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