Abstract
In inverse problems it is necessary to restore a system from some information about this system (scattering data, spectral data). In the present case the following problems have to be solved:
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I.
To prove that there exists a system corresponding to the data (existence theorem).
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II.
To prove that there is a unique system corresponding to the data.
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III.
To find the method of constructing this system by the data.
An inverse problem? Havn’t I done everything there? ( A joke by V.P. Potapov)
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References
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© 1994 Springer Basel AG
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Sakhnovich, L.A. (1994). Inverse problems for equations systems. In: Gohberg, I., Sakhnovich, L.A. (eds) Matrix and Operator Valued Functions. Operator Theory Advances and Applications, vol 72. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8532-4_10
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DOI: https://doi.org/10.1007/978-3-0348-8532-4_10
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