Geodesic
The Krein string and characteristic functions of non-self-adjoint operators
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 33, Tome 327 (2005), pp. 115-134

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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. 
@article{ZNSL_2005_327_a7,
     author = {A. S. Kostenko},
     title = {The {Krein} string and characteristic functions of non-self-adjoint operators},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {115--134},
     publisher = {mathdoc},
     volume = {327},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2005_327_a7/}
}
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A. S. Kostenko. The Krein string and characteristic functions of non-self-adjoint operators. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 33, Tome 327 (2005), pp. 115-134. http://geodesic.mathdoc.fr/item/ZNSL_2005_327_a7/