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Computational Methods and Function Theory 6 (2006), No. 2, 481--492 Copyright Heldermann Verlag 2006
Christer Glader cglader@abo.fi , Department of Mathematics, Åbo Akademi University, FIN-20500, Åbo, Finland.
We consider an interpolation problem with n pairwise distinct nodes z1,...,zn and n numbers w1,...,wn, all on the unit circle in the complex plane, and seek interpolants b(z) of minimal degree in the class consisting of ratios of finite Blaschke products. The focus is on cases where the interpolant of minimal degree is uniquely determined. Keywords: Rational interpolation, Blaschke product. MSC 2000: 30D50, 30E05. [FullText-pdf (258 K)] [FullText-ps (441 K)]
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