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About a Non-Standard Interpolation Problem

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Abstract

Using algebraic methods, and motivated by the one variable case, we study a multipoint interpolation problem in the setting of several complex variables. The duality realized by the residue generator associated with an underlying Gorenstein algebra, using the Lagrange interpolation polynomial, plays a key role in the arguments.

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Authors and Affiliations

  1. Schmid College of Science and Technology, Chapman University, One University Drive, Orange, CA, 92866, USA

    Daniel Alpay

  2. Institut de Mathématiques, Université de Bordeaux, 351 cours de la Libération, 33405, Talence, France

    Alain Yger

Authors
  1. Daniel Alpay
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  2. Alain Yger
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Correspondence to Alain Yger.

Additional information

Communicated by Arno Kuijlaars.

The authors thank the Foster G. and Mary McGaw Professorship in Mathematical Sciences, which supported this research.

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Alpay, D., Yger, A. About a Non-Standard Interpolation Problem. Comput. Methods Funct. Theory 19, 97–115 (2019). https://doi.org/10.1007/s40315-018-0255-1

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  • DOI: https://doi.org/10.1007/s40315-018-0255-1

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