Geodesic
Nearly invariant subspaces and rational interpolation
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 47, Tome 480 (2019), pp. 148-161 Cet article a éte moissonné depuis la source Math-Net.Ru

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Given an inner function $\theta$ in the upper half-plane, consider the subspace $H^2\ominus\theta H^2$ of the Hardy space $H^2$. For a finite collection $\Lambda$ of points on the complex plane, the subspace of functions from $K_\theta$ that vanish on $\Lambda$ can be represented in the form $g\cdot K_\omega$, where $\omega$ is an inner function and $g$ is an isometric multiplier on $K_\omega$. We obtain a description of the functions $\omega$ and $g$ in terms of $\theta$ and $\Lambda$. 
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     author = {V. V. Kapustin},
     title = {Nearly invariant subspaces and rational interpolation},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     volume = {480},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2019_480_a9/}
}
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V. V. Kapustin. Nearly invariant subspaces and rational interpolation. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 47, Tome 480 (2019), pp. 148-161. http://geodesic.mathdoc.fr/item/ZNSL_2019_480_a9/

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