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A Uniqueness Result on Boundary Interpolation
Proceedings of the American Mathematical Society
Vol. 136, No. 5 (May, 2008), pp. 1705-1715
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/20535346
Page Count: 11
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Let f be an analytic function mapping the unit disk 𝔻 into itself. We give necessary and sufficient conditions on the local behavior of f near a finite set of boundary points that require f to be a finite Blaschke product.
Proceedings of the American Mathematical Society © 2008 American Mathematical Society