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New York Journal of Mathematics 6 (2000), 227-236.

The Three Point Pick Problem on the Bidisk

Jim Agler and John E. McCarthy

Published: October 2, 2000
Keywords: bidisk, Hinfinity, Pick interpolation, Nevanlinna-Pick
Subject: Primary: 32Q45, 32D15; Secondary: 46J15

Abstract:

We prove that a non-degenerate extremal 3 point Pick problem on the bidisk always has a unique solution.

Acknowledgments:
The first author was partially supported by the National Science Foundation

Author information:
Jim Agler:
U.C. San Diego, La Jolla, California 92093
jagler@math.ucsd.edu

John E. McCarthy:
Washington University, St. Louis, Missouri 63130
mccarthy@math.wustl.edu
http://www.math.wustl.edu/~mccarthy/