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Nevanlinna–Pick Problem and Uniqueness of Left Inverses in Convex Domains, Symmetrized Bidisc and Tetrablock

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Abstract

In the paper we discuss the problem of uniqueness of left inverses (solutions of two-point Nevanlinna–Pick problem) in bounded convex domains, strongly linearly convex domains, the symmetrized bidisc and the tetrablock.

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Acknowledgments

The first author is partially supported by the Polish Ministry of Science and Higher Education Grant Iuventus Plus IP2012 032372. The second author is partially supported by the Grant of the Polish National Science Centre No. UMO2011/03/B/ST1/04758.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Institute of Mathematics, Jagiellonian University, Łojasiewicza 6, 30-348, Kraków, Poland

    Łukasz Kosiński & Włodzimierz Zwonek

Authors
  1. Łukasz Kosiński
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  2. Włodzimierz Zwonek
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Correspondence to Łukasz Kosiński.

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Kosiński, Ł., Zwonek, W. Nevanlinna–Pick Problem and Uniqueness of Left Inverses in Convex Domains, Symmetrized Bidisc and Tetrablock. J Geom Anal 26, 1863–1890 (2016). https://doi.org/10.1007/s12220-015-9611-9

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  • DOI: https://doi.org/10.1007/s12220-015-9611-9

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