Hardy approximation toL ∞ functions on subsets of the circle |
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| Authors: | L. Baratchart J. Leblond J. R. Partington |
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| Affiliation: | 1. INRIA, BP 93, 06902, Sophia-Antipolis Cedex, FRANCE
2. School of Mathematics, University of Leeds, LS2 9JT, Leeds, U.K.
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| Abstract: | We consider approximation ofL ∞ functions byH ∞ functions on proper substs of the circle. We derive some properties of traces of Hardy classes on such subsets, and then turn to a generalization of classical extremal problems involving norm constraints on the complementary subset. |
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