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Published in:
The Reproducing Kernel Property and Its Space: The Basics Read chapter Read first chapter

2015 | OriginalPaper | Chapter

3. The Use of Kernel Functions in Solving the Pick Interpolation Problem

Authors : Jim Agler, John E. McCarthy

Published in: Operator Theory

Publisher: Springer Basel

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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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previous chapter The Reproducing Kernel Property and Its Space: More or Less Standard Examples of Applications
next chapter Bergman Kernel in Complex Analysis
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Metadata
Title
The Use of Kernel Functions in Solving the Pick Interpolation Problem
Authors
Jim Agler
John E. McCarthy
Copyright Year
2015
Publisher
Springer Basel
Book
Operator Theory

Print ISBN: 978-3-0348-0666-4

Electronic ISBN: 978-3-0348-0667-1

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-0348-0667-1_67

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