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This article is cited in 12 scientific papers (total in 12 papers)
Research Papers
Operator-valued bergman inner functions as transfer functions
A. Olofsson Stockholm, Sweden
Abstract:
An explicit construction characterizing the operator-valued Bergman inner functions is given for a class of vector-valued standard weighted Bergman spaces in the unit disk. These operator-valued Bergman inner functions act as contractive multipliers from the Hardy space into the associated Bergman space, and they have a natural interpretation as transfer functions for a related class of discrete time linear systems. This points to a new interaction between the fields of invariant subspace theory and mathematical systems theory.
Keywords:
Bergman inner function, transfer function, $n$-hypercontraction, wandering subspace, standard weighted Bergman space, discrete time linear system.
Received: 04.09.2006
Citation:
A. Olofsson, “Operator-valued bergman inner functions as transfer functions”, Algebra i Analiz, 19:4 (2007), 146–173; St. Petersburg Math. J., 19:4 (2008), 603–623
Linking options:
https://www.mathnet.ru/eng/aa132 https://www.mathnet.ru/eng/aa/v19/i4/p146
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Abstract page: | 585 | Full-text PDF : | 113 | References: | 45 | First page: | 8 |
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