Sequences of zeroes of holomorphic functions in weight spaces in the unit disk
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2010), pp. 102-105.

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Let $\mathbb D$ be the unit disk in the complex plane $\mathbb C$ and let $H$ be a certain weight class of holomorphic functions in $\mathbb D$. We establish conditions under which a given sequence of points $\Lambda=\{\lambda_k\}_{k=1}^\infty\subset\mathbb D$ is the sequence of zeroes of a function from $H$.
Keywords: holomorphic function, sequence of zeroes, weight space.
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F. B. Khabibullin. Sequences of zeroes of holomorphic functions in weight spaces in the unit disk. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2010), pp. 102-105. http://geodesic.mathdoc.fr/item/IVM_2010_3_a13/

[1] Shamoyan F. A., “Faktorizatsionnaya teorema M. M. Dzhrbashyana i kharakteristika nulei analiticheskikh v kruge funktsii s mazhorantoi konechnogo rosta”, Izv. AN ArmSSR. Matematika, 13:5–6 (1978), 405–422 | MR | Zbl

[2] Khabibullin B. N., Khabibullin F. B., Cherednikova L. Yu., “Podposledovatelnosti nulei dlya klassov golomorfnykh funktsii, ikh ustoichivost i entropiya lineinoi svyaznosti. II”, Algebra i analiz, 20:1 (2008), 190–236 | MR

[3] Kudasheva E. G., Khabibullin B. N., “Raspredelenie nulei golomofnykh funktsii umerennogo rosta v edinichnom kruge i predstavlenie v nem meromorfnykh funktsii”, Matem. sb., 200:9 (2009), 95–126

[4] Seip K., “An extension of the Blaschke condition”, J. London Math. Soc. (2), 51:3 (1995), 545–558 | MR | Zbl