Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article


Computational Methods and Function Theory 6 (2006), No. 2, 481--492
Copyright Heldermann Verlag 2006

Rational Unimodular Interpolation on the Unit Circle

Christer Glader
cglader@abo.fi , Department of Mathematics, Åbo Akademi University, FIN-20500, Åbo, Finland.

[Abstract-pdf] [Abstract-ps]

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)]