Geodesic
Factoring of an entire function into two equivalent functions
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 1, pp. 19-30 
R. G. Pis'mennyi. Factoring of an entire function into two equivalent functions. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 1, pp. 19-30. http://geodesic.mathdoc.fr/item/ISU_2009_9_1_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The article contains the development of the known Krasichkov-Ternovskii's theorem about fission on event of the proximate order. Herewith event of the zero order is covered. Proof is realized on the same scheme and is founded on Adamara's theorem.

[1] Krasichkov-Ternovskii I. F., “Invariantnye podprostranstva analiticheskikh funktsii. I. Spektralnyi sintez na vypuklykh oblastyakh”, Mat. sb., 87(129):4 (1972), 459–489

[2] Azarin V. S., “O razlozhenii tseloi funktsii konechnogo poryadka na somnozhiteli, imeyuschie zadannyi rost”, Mat. sb., 90:2 (1973), 229–230 | MR | Zbl

[3] Yulmukhametov R. S., “Approksimatsiya subgarmonicheskikh funktsii”, Analysis Mathematica, 11:3 (1985), 257–520 | DOI | MR

[4] Krasichkov I. F., “Sravnenie tselykh funktsii konechnogo poryadka po raspredeleniyu ikh kornei”, Mat. sb., 70(112):2 (1966), 198–230 | Zbl