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Concrete Examples of \(\varvec{\mathscr {H}(b)}\) Spaces

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Abstract

In this paper, we give an explicit description of de Branges–Rovnyak spaces \(\mathscr {H}(b)\) when b is of the form \(q^{r}\), where q is a rational outer function in the closed unit ball of \(H^{\infty }\) and r is a positive number.

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Acknowledgments

We wish to thank the referee for their careful reading of this paper.

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Correspondence to William T. Ross.

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Communicated by Dmitry Khavinson.

This work was initiated while the E. Fricain and A. Hartmann were staying at the University of Richmond. E. Fricain and A. Hartmann would like to thank that institution for the great hospitality. Work supported by Labex CEMPI (ANR-11-LABX-0007-01).

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Fricain, E., Hartmann, A. & Ross, W.T. Concrete Examples of \(\varvec{\mathscr {H}(b)}\) Spaces. Comput. Methods Funct. Theory 16, 287–306 (2016). https://doi.org/10.1007/s40315-015-0144-9

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  • DOI: https://doi.org/10.1007/s40315-015-0144-9

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