# Problems of Adamjan-Arov-Krein Type on Subsets of the Circle and Minimal Norm Extensions

Abstract : We study some generalizations to subsets of the unit circle of Adamjan-Arov-Kr- ein type problems and mainly the one of extending a given function to the missing part of the boundary so as to make it as close to meromorphic with $N$ poles as possible in the $sup$ norm while meeting some gauge constraint. To make our analysis computationally effective, a generic non--multipleness result of the singular values of Hankel operators is established which allows us to provide a convergent resolution algorithm in separable Hölder-Zygmund classes.
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https://hal.inria.fr/inria-00073354
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### Identifiers

• HAL Id : inria-00073354, version 1

### Citation

Laurent Baratchart, Juliette Leblond, Jonathan R. Partington. Problems of Adamjan-Arov-Krein Type on Subsets of the Circle and Minimal Norm Extensions. RR-3335, INRIA. 1998. ⟨inria-00073354⟩

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