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The Use of Kernel Functions in Solving the Pick Interpolation Problem

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Operator Theory

Abstract

The original Pick interpolation problem asks when an analytic function from the disk to the half-plane can interpolate certain prescribed values. This was solved by G. Pick in 1916. This chapter discusses this theorem and generalizations of it to other domains.

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Acknowledgements

The first author was partially supported by the National Science Foundation Grant DMS 1361720; the second author was partially supported by the National Science Foundation Grant DMS 1300280.

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Authors and Affiliations

  1. University of California, San Diego, La Jolla, CA, USA

    Jim Agler

  2. Department of Mathematics, Washington University, St. Louis, MO, USA

    John E. McCarthy

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  1. Jim Agler
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Correspondence to John E. McCarthy .

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Editors and Affiliations

  1. Earl Katz Chair in Algebraic System Theory, Department of Mathematics, Ben-Gurion University of the Negev, Be’er Sheva, Israel

    Daniel Alpay

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Agler, J., McCarthy, J.E. (2015). The Use of Kernel Functions in Solving the Pick Interpolation Problem. In: Alpay, D. (eds) Operator Theory. Springer, Basel. https://doi.org/10.1007/978-3-0348-0667-1_67

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