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- W8139930 abstract "We formulate a generalized realization problem for time dependent systems on spaces with indefinite inner product. We use the Kolmogorov decomposition of Hermitian kernels as a main tool for the solution of this problem. The uniqueness property of the minimal realization is characterized. Applications are given to the realization of time independent systems, including the connection with the Azizov realization theorem and with de Branges-Rovnyak models. We give an example of a Toeplitz transfer map with a time dependent unitary realization but with no time independent unitary realization and an example of a function in a generalized Schur class for which one cannot run a Schur type algorithm." @default.
- W8139930 created "2016-06-24" @default.
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- W8139930 date "2000-01-01" @default.
- W8139930 modified "2023-09-23" @default.
- W8139930 title "Kolmogorov Decompositions and the Realization of Time Dependent Systems" @default.
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- W8139930 doi "https://doi.org/10.1007/978-3-0348-8422-8_5" @default.
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