Geodesic
On the Relation between the Darlington Realizations of Matrix Functions from the Carath\'eodory Class and Their $J_{p,r}$-Inner SI-Dilations
Matematičeskie zametki, Tome 90 (2011) no. 6, pp. 821-832

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The paper is devoted to establishing a two-sided relation between the Darlington realizations of matrix functions from the Carathéodory class $\mathscr C^{p\times p}\Pi$ and their $J_{p,r}$-inner SI-dilations.
Keywords: Darlington realization of matrix functions, Carathéodory class of functions, SI (scattering-impedance)-dilation, meromorphic function, Smirnov class of functions. 
@article{MZM_2011_90_6_a1,
     author = {D. Z. Arov and N. A. Rozhenko},
     title = {On the {Relation} between the {Darlington} {Realizations} of {Matrix} {Functions} from the {Carath\'eodory} {Class} and {Their} $J_{p,r}${-Inner} {SI-Dilations}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {821--832},
     publisher = {mathdoc},
     volume = {90},
     number = {6},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_90_6_a1/}
}
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D. Z. Arov; N. A. Rozhenko. On the Relation between the Darlington Realizations of Matrix Functions from the Carath\'eodory Class and Their $J_{p,r}$-Inner SI-Dilations. Matematičeskie zametki, Tome 90 (2011) no. 6, pp. 821-832. http://geodesic.mathdoc.fr/item/MZM_2011_90_6_a1/