Geodesic
Functional models, unitary invariants, mosaics and principal functions for operators with trace class self-commutator
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 1, pp. 18-47 
I. V. Vorobyov. Functional models, unitary invariants, mosaics and principal functions for operators with trace class self-commutator. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 1, pp. 18-47. http://geodesic.mathdoc.fr/item/JMAG_2002_9_1_a1/
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     title = {Functional models, unitary invariants, mosaics and principal functions for operators with trace class self-commutator},
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     url = {http://geodesic.mathdoc.fr/item/JMAG_2002_9_1_a1/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The singular integral model of an operator with trace class self-commutator is constructed. A decomposition theorem for operators in orthogonal sum of normal and completely nonnormal operators is obtained. A notion of the hyponormal metrical colligation is introduced, and it is proved that the determining and characteristic functions are unitary invariants for the simple colligations. A class of functions, which are the semidetermining functions is described. On the base of the singular integral model the mosaics and the Pincus principal functions are constructed.