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arXiv · 1802.03385

Krein-type theorems and ordered structure for Cauchy-de Branges spaces

Evgeny Abakumov·Anton Baranov·Yurii Belov
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Abstract

We extend some results of M.G. Krein to the class of entire functions which can be represented as ratios of discrete Cauchy transforms in the plane. As an application we obtain new versions of de Branges' Ordering Theorem for nearly invariant subspaces in a class of Hilbert spaces of entire functions. Examples illustrating sharpness of the obtained results are given.

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Evgeny Abakumov, Anton Baranov, Yurii Belov. 2018-02-09. Krein-type theorems and ordered structure for Cauchy-de Branges spaces. https://arxiv.org/abs/1802.03385

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