The Use of Kernel Functions in Solving the Pick Interpolation Problem

Jim Agler and John E. McCarthy ()
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Jim Agler: University of California, San Diego
John E. McCarthy: Washington University, Department of Mathematics

Chapter 3 in Operator Theory, 2015, pp 59-71 from Springer

Abstract: 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.

Keywords: Hardy Space; Interpolation Problem; Blaschke Product; Reproduce Kernel Hilbert Space; Closed Unit Ball (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0667-1_67

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DOI: 10.1007/978-3-0348-0667-1_67

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