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arxiv: math/0412359 · v2 · submitted 2004-12-18 · 🧮 math.CV · math.FA

Zero (sub)sets for spaces of holomorphic functions and (sub)harmonic minorants

classification 🧮 math.CV math.FA
keywords functionsholomorphicspaceszerobalayagecomplexconditionsdomain
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We obtain various general conditions in terms of the balayage and Green's functions under which the sequence of points is the zero set for weighted spaces of holomorphic functions in a domain on the complex plane.

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