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- W2952008002 abstract "We analyse two special cases of $mu$-synthesis problems which can be reduced to interpolation problems in the set of analytic functions from the disc into the symmetrised bidisc and into the tetrablock. For these inhomogeneous domains we study the structure of interconnections between the set of analytic functions from the disc into the given domain, the matricial Schur class, the Schur class of the bidisc, and the set of pairs of positive kernels on the bidisc subject to a boundedness condition. We use the theories of Hilbert function spaces and of reproducing kernels to establish these connections. We give a solvability criterion for the interpolation problem that arises from the $mu$-synthesis problem related to the tetrablock." @default.
- W2952008002 created "2019-06-27" @default.
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- W2952008002 date "2016-08-07" @default.
- W2952008002 modified "2023-09-27" @default.
- W2952008002 title "A rich structure related to the construction of analytic matrix functions" @default.
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- W2952008002 doi "https://doi.org/10.48550/arxiv.1608.02265" @default.
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