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- W2899211187 abstract "In resonance with a recent geometric framework proposed by Douglas and Yang, we develop a functional model for certain linear bounded operators with rank-one self-commutator acting on a Hilbert space. By taking advantage of the refined existing theory of the principal function of a hyponormal operator, we transfer the whole action outside the spectrum, on the resolvent of the underlying operator, localized at a distinguished vector. The whole construction turns out to rely on an elementary algebra body involving analytic multipliers and Cauchy transforms. We propose a natural field theory interpretation of the resulting resolvent functional model." @default.
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- W2899211187 date "2019-04-01" @default.
- W2899211187 modified "2023-09-26" @default.
- W2899211187 title "A field-theoretic operator model and Cowen–Douglas class" @default.
- W2899211187 doi "https://doi.org/10.1215/17358787-2018-0041" @default.
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