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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Nevanlinna-Pick interpolation problem in the ball


Authors: Łukasz Kosiński and Włodzimierz Zwonek
Journal: Trans. Amer. Math. Soc. 370 (2018), 3931-3947
MSC (2010): Primary 32E30, 30E05
DOI: https://doi.org/10.1090/tran/7063
Published electronically: November 14, 2017
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Abstract: We solve a 3-point Nevanlinna-Pick problem in the Euclidean ball. In particular, we determine a class of rational functions that interpolate this problem.


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Łukasz Kosiński
Affiliation: Institute of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland
Email: lukasz.kosinski@im.uj.edu.pl

Włodzimierz Zwonek
Affiliation: Institute of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland
Email: wlodzimierz.zwonek@im.uj.edu.pl

DOI: https://doi.org/10.1090/tran/7063
Received by editor(s): May 18, 2016
Received by editor(s) in revised form: September 5, 2016
Published electronically: November 14, 2017
Additional Notes: The first author was supported by the NCN grant UMO-2014/15/D/ST1/01972.
The second author was supported by the OPUS grant no. 2015/17/B/ST1/00996 financed by the National Science Centre, Poland.
Article copyright: © Copyright 2017 American Mathematical Society

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