Geodesic
Pommier Operator in Spaces of Analytic Functions of Several Complex Variables
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Complex analysis, Tome 153 (2018), pp. 55-68

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Pommier operators in spaces of analytic functions of several complex variables are examined. Linear continuous operators that commute with the system of Pommier operators in the space $A(\Omega)$ of analytic functions in a polycylindrical domain $\Omega$ and in the countable inductive limit of Fréchet weighted spaces of entire functions are described. Cyclic vectors of the system of Pommier operators in the space $A(\Omega)$ are studied.
Keywords: Pommier operator, cyclic vector, analytic function.
Mots-clés : commutant 
@article{INTO_2018_153_a3,
     author = {P. A. Ivanov and S. N. Melikhov},
     title = {Pommier {Operator} in {Spaces} of {Analytic} {Functions} of {Several} {Complex} {Variables}},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {55--68},
     publisher = {mathdoc},
     volume = {153},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2018_153_a3/}
}
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P. A. Ivanov; S. N. Melikhov. Pommier Operator in Spaces of Analytic Functions of Several Complex Variables. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Complex analysis, Tome 153 (2018), pp. 55-68. http://geodesic.mathdoc.fr/item/INTO_2018_153_a3/