Geodesic
Zero sequences of holomorphic functions, representation
Sbornik. Mathematics, Tome 198 (2007) no. 2, pp. 261-298

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Let $\Lambda=\{\lambda_k\}$ be a point sequence in a subdomain $\Omega$ of the complex plane $\mathbb C$. In terms of harmonic measures, Green's functions, balayage, Jensen measures, and so on, general conditions are described ensuring that $\Lambda$ is the zero sequence of a holomorphic function in a prescribed weighted space of holomorphic functions in $\Omega$. The question of the representation of a meromorphic function in $\Omega$ as the ratio of holomorphic functions without common zeros from a prescribed weighted space is considered in similar terms. Some applications are presented. Bibliography: 46 titles. 
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     author = {B. N. Khabibullin},
     title = {Zero sequences of holomorphic functions, representation},
     journal = {Sbornik. Mathematics},
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     number = {2},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2007_198_2_a5/}
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B. N. Khabibullin. Zero sequences of holomorphic functions, representation. Sbornik. Mathematics, Tome 198 (2007) no. 2, pp. 261-298. http://geodesic.mathdoc.fr/item/SM_2007_198_2_a5/