Pommier Operator in Spaces of Analytic Functions of Several Complex Variables

P. A. Ivanov ; S. N. Melikhov

Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Complex analysis, Tome 153 (2018), pp. 55-68.

Résumé

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.

Détail

Keywords: Pommier operator, cyclic vector, analytic function.
Mots-clés : commutant

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