HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Reports

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.
Document type :
Reports
Complete list of metadata

Cited literature [1 references]  Display  Hide  Download

https://hal.inria.fr/inria-00073354
Contributor : Rapport de Recherche Inria Connect in order to contact the contributor
Submitted on : Wednesday, May 24, 2006 - 12:36:23 PM
Last modification on : Friday, February 4, 2022 - 3:18:43 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:43:38 PM

Identifiers

  • HAL Id : inria-00073354, version 1

Collections

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⟩

Share

Metrics

Record views

52

Files downloads

128