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The Krein string and characteristic functions of non-self-adjoint operators
Kostenko, Aleksej Sergejevič, 1980-
The operator generated by the Krein string is investigated in the framework of the extension theory of symmetric operators. A simple proof of the complete non-self-adjointness of the operator is ...proposed. The scattering function of the string is obtained with the help of the Derkach-Malamud formula for characteristic functions of almost solvable extensions.
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