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On the approximation of holomorphic functions by Müntz polynomials on an interval away from the origin

✍ Scribed by Georg Still

Publisher: Elsevier Science
Year: 1985
Tongue: English
Weight: 981 KB
Volume: 45
Category: Article
ISSN: 0021-9045
DOI: 10.1016/0021-9045(85)90044-9

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## Abstract Let __D__ be a unit disk and__M__ be an open arc of the unit circle whose Lebesgue measure satisfies 0 < __l__ (__M__) < 2__π__. Our first result characterizes the restriction of the holomorphic functions __f__ ∈ ℋ︁(__D__), which are in the Hardy class ℋ︁^1^ near the arc__M__ and are de