Document Type
Lecture
Publication Date
10-19-2009
Abstract
Given a function analytic in the plane except for finitely many branch points in the unit disk, we consider its best rational approximant of given degree in L² of the unit circle. We analyze the behavior of the poles of the approximant when its degree becomes large and discuss how it can be used to approach certain inverse source problems for the Laplacian.
Relational Format
presentation
Recommended Citation
Baratchart, Laurent, "Rational approximation and inverse problems" (2009). Analysis Seminar. 31.
https://egrove.olemiss.edu/math_analysis/31
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