Geodesic
Splitting of some spaces of analytic functions
Ufa mathematical journal, Tome 6 (2014) no. 2, pp. 25-34

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For the Paley–Wiener space and the weighted Hardy spaces in the halfplane we consider problems on splitting a function into a sum of two, each being “large” only in their domain. For the first space the problem is solved completely, for the second we obtain sufficient conditions of solvability.
Keywords: weighted Hardy space, Paley–Wiener theorem, angular boundary values, splitting. 
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     title = {Splitting of some spaces of analytic functions},
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V. N. Dilnyi. Splitting of some spaces of analytic functions. Ufa mathematical journal, Tome 6 (2014) no. 2, pp. 25-34. http://geodesic.mathdoc.fr/item/UFA_2014_6_2_a1/