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- W4225709928 abstract "Jury and Martin establish an analogue of the classical inner-outer factorization of Hardy space functions. They show that every function $f$ in a Hilbert function space with a normalized complete Pick reproducing kernel has a factorization of the type $f=varphi g$, where $g$ is cyclic, $varphi$ is a contractive multiplier, and $|f|=|g|$. In this paper we show that if the cyclic factor is assumed to be what we call free outer, then the factors are essentially unique, and we give a characterization of the factors that is intrinsic to the space. That lets us compute examples. We also provide several applications of this factorization." @default.
- W4225709928 created "2022-05-05" @default.
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- W4225709928 date "2022-03-15" @default.
- W4225709928 modified "2023-10-18" @default.
- W4225709928 title "Free outer functions in complete Pick spaces" @default.
- W4225709928 doi "https://doi.org/10.48550/arxiv.2203.08179" @default.
- W4225709928 hasPublicationYear "2022" @default.
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