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Constrained Hp Interpolation on Subsets of the Circle

Abstract : We study band-limited versions of classical interpolation issues in the unit disk DD of the complex plane, that generalize Nevanlinna-Pick and Carathéodory-Fejér problems in Hardy spaces Hp of DD, 1 \leq p \leq \infty. We show how they can be linked to a family of bounded extremal problems about which we provide some results.
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https://hal.inria.fr/inria-00072899
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Submitted on : Wednesday, May 24, 2006 - 11:14:16 AM
Last modification on : Friday, February 4, 2022 - 3:16:35 AM
Long-term archiving on: : Sunday, April 4, 2010 - 9:31:00 PM

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  • HAL Id : inria-00072899, version 1

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Laurent Baratchart, Juliette Leblond, Jonathan R. Partington. Constrained Hp Interpolation on Subsets of the Circle. RR-3763, INRIA. 1999. ⟨inria-00072899⟩

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