Geodesic
Operators commuting with multiplication in spaces of analytic functions of one variable
Matematičeskie zametki, Tome 13 (1973) no. 2, pp. 269-276 
V. P. Zakharyuta; M. Yu. Tsar'kov. Operators commuting with multiplication in spaces of analytic functions of one variable. Matematičeskie zametki, Tome 13 (1973) no. 2, pp. 269-276. http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a11/
@article{MZM_1973_13_2_a11,
     author = {V. P. Zakharyuta and M. Yu. Tsar'kov},
     title = {Operators commuting with multiplication in spaces of analytic functions of one variable},
     journal = {Matemati\v{c}eskie zametki},
     pages = {269--276},
     year = {1973},
     volume = {13},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a11/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Let $D$ be an analytic manifold of dimensionality $\mathfrak A(D)$ be the space of functions analytic on $D$ with the topology of compact convergence, and $\varphi(z)$ be a function from $\mathfrak A(D)$. Under certain sufficiently general assumptions relative to the manifold $D$, in the note is found the general form of a continuous linear operator $\mathfrak A(D)$, commuting with the operator of multiplication by a function $\varphi(z)$. Because of this it is established under what conditions each such operator is an operator of multiplication by some function.