Time cones and a functional model on a Riemann surface

V. A. Zolotarev

Sbornik. Mathematics, Tome 70 (1991) no. 2, pp. 399-429

Résumé

Functional and triangular models of commuting systems of bounded linear operators are constructed. A method is given to construct dilations of multiparameter contraction semigroups. The subsequent analysis of these dilations within the scope of the Lax–Phillips scattering scheme leads to functional models on Riemann surfaces.

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