Geodesic
Linear passive systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 1 (1969) no. 1, pp. 67-94

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Linear passive systems with many variables are examined. The necessary and sufficient conditions for passivity are deduced in terms of positive real matrices holomorphic in a tubular region above a'convex cone. Multidimensional dispersion relations are deduced, and existence and uniqueness are demonstrated for the operator inverse to any nondegenerate passive operator in the class of nondegenerate passive operators. The results are applied to scattering operators. 
@article{TMF_1969_1_1_a5,
     author = {V. S. Vladimirov},
     title = {Linear passive systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {67--94},
     publisher = {mathdoc},
     volume = {1},
     number = {1},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1969_1_1_a5/}
}
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V. S. Vladimirov. Linear passive systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 1 (1969) no. 1, pp. 67-94. http://geodesic.mathdoc.fr/item/TMF_1969_1_1_a5/