Geodesic
The general form of isomorphisms commuting with differentiation in spaces of entire functions of slow growth
Sbornik. Mathematics, Tome 20 (1973) no. 4, pp. 493-505 
Yu. F. Korobeinik; V. V. Morzhakov. The general form of isomorphisms commuting with differentiation in spaces of entire functions of slow growth. Sbornik. Mathematics, Tome 20 (1973) no. 4, pp. 493-505. http://geodesic.mathdoc.fr/item/SM_1973_20_4_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The general form is found for an isomorphism $I$ in a space of entire functions of several complex variables of sufficiently slow growth, when $I$ is required to commute with every operator $D^p=\partial^{p_1+\dots+p_n}/\partial z^{p_1}_1\cdots\partial z^{p_n}_n$. Bibliography: 14 titles.

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[4] A. Martineau, “Équations différentielles d'ordre infini”, Bull. Soc. math. France, 95 (1968), 109–154 | MR

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[8] Yu. F. Korobeinik, “Obschii vid lineinogo funktsionala v nekotorykh prostranstvakh analiticheskikh funktsii i ego prilozheniya v teorii differentsialnykh operatorov beskonechnogo poryadka”, Matem. analiz i ego prilozheniya, izd. RGU, Rostov-na-Donu, 1969, 116–132 | MR

[9] V. V. Morzhakov, “K teorii primenimosti differentsialnykh operatorov beskonechnogo poryadka v prostranstvakh funktsii mnogikh kompleksnykh peremennykh”, Litovskii matem. sb., 11 (1971), 843–859 | Zbl

[10] A. V. Kantorovich, V. I. Krylov, Priblizhennye metody vysshego analiza, Gostekhizdat, Leningrad–Moskva, 1949

[11] Iv. Raichinov, “V'erkhu edna klasa lineini operatori”, God. minno-geol. in-t, 9, Sofiya, 1962–1963, 425–430

[12] R. P. Boas, “Functions of exponential type, III”, Duke. Math. J., 2 (1944), 507–511 | DOI | MR | Zbl

[13] D. Djoković, “A remark on the paper of Iv. Raitchinov sur une théorème de G. Polya”, Publ. Inst. Math., 3 (1963), 41–42 | MR | Zbl

[14] S. Rolewicz, “On Cauchy - Hadamard formula for Köethe power series”, Bull. Acad. Polon. sci., X:4 (1962), 211–216 | MR