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• W1971494054 abstract "An interesting and recently much studied generalization of the classical Schur class is the class of contractive operator-valued multipliers for the reproducing kernel Hilbert space H ( k d ) on the unit ball B d ⊂ C d , where k d is the positive kernel k d ( λ , ζ ) = 1 / ( 1 − 〈 λ , ζ 〉 ) on B d . We study this space from the point of view of realization theory and functional models of de Branges–Rovnyak type. We highlight features which depart from the classical univariate case: coisometric realizations have only partial uniqueness properties, the nonuniqueness can be described explicitly, and this description assumes a particularly concrete form in the functional-model context." @default.
• W1971494054 created "2016-06-24" @default.
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• W1971494054 date "2007-09-01" @default.
• W1971494054 modified "2023-10-16" @default.
• W1971494054 title "Transfer-function realization for multipliers of the Arveson space" @default.
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• W1971494054 doi "https://doi.org/10.1016/j.jmaa.2006.10.076" @default.
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