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Interpolation

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Finite Blaschke Products and Their Connections

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Abstract

Interpolation of data by functions from a given class has a rich history dating back to Newton and Lagrange. Famous examples involve interpolation by polynomials, rational functions, and bounded analytic functions. This chapter covers various types of interpolation and the connection these problems make to finite Blaschke products.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Pomona College, Claremont, CA, USA

    Stephan Ramon Garcia

  2. Department of Mathematics and Statistics, Laval University, Québec City, QC, Canada

    Javad Mashreghi

  3. Department of Mathematics and Computer Science, University of Richmond, Richmond, VA, USA

    William T. Ross

Authors
  1. Stephan Ramon Garcia
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  2. Javad Mashreghi
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  3. William T. Ross
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Garcia, S.R., Mashreghi, J., Ross, W.T. (2018). Interpolation. In: Finite Blaschke Products and Their Connections. Springer, Cham. https://doi.org/10.1007/978-3-319-78247-8_7

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