Geodesic
Theory of linear descrete time-invariant dissipative scattering systems with state $\pi_\kappa$-spaces
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 29, Tome 282 (2001), pp. 192-215

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An arbtrary operator-valued function in the generalized Shur class in realized as the transfer function of a minimal optimal and minimal $\ast$- optimal dissipative scattering system with Pontryagin state space. The results generalize D. Z. Arov's results for the Hilbert state space case. 
@article{ZNSL_2001_282_a12,
     author = {S. M. Saprikin},
     title = {Theory of linear descrete time-invariant dissipative scattering systems with state $\pi_\kappa$-spaces},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {192--215},
     publisher = {mathdoc},
     volume = {282},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_282_a12/}
}
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S. M. Saprikin. Theory of linear descrete time-invariant dissipative scattering systems with state $\pi_\kappa$-spaces. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 29, Tome 282 (2001), pp. 192-215. http://geodesic.mathdoc.fr/item/ZNSL_2001_282_a12/