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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Nevanlinna-Pick interpolation problem in the ball
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by Łukasz Kosiński and Włodzimierz Zwonek PDF
Trans. Amer. Math. Soc. 370 (2018), 3931-3947 Request permission

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.
References
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Additional Information
  • Łukasz Kosiński
  • Affiliation: Institute of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland
  • MR Author ID: 825007
  • 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
  • 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.
  • © Copyright 2017 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 370 (2018), 3931-3947
  • MSC (2010): Primary 32E30, 30E05
  • DOI: https://doi.org/10.1090/tran/7063
  • MathSciNet review: 3811515