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Reconstruction of holomorphic functions of several variables from their values on a uniqueness set

✍ Scribed by N. S. Krasikova; Yu. V. Khurumov

Publisher
SP MAIK Nauka/Interperiodica
Year
1991
Tongue
English
Weight
308 KB
Volume
32
Category
Article
ISSN
0037-4466

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πŸ“œ SIMILAR VOLUMES

On a class of holomorphic functions repr
On a class of holomorphic functions representable by Carleman formulas in the disk from their values on the arc of the circle
✍ Lev Aizenberg; Alekos Vidras πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 218 KB πŸ‘ 1 views

## 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__Ο€__. 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