Bohr property of bases in the space of entire functions and its generalizations
نویسندگان
چکیده
We prove that if (φn) ∞ n=0, φ0 ≡ 1, is a basis in the space of entire functions of d complex variables, d ≥ 1, then for every compact K ⊂ C there is a compact K1 ⊃ K such that for every entire function f = ∑∞ n=0 fnφn we have ∑∞ n=0 |fn| supK |φn| ≤ supK1 |f |. A similar assertion holds for bases in the space of global analytic functions on a Stein manifold with the Liouville Property.
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