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On representation of linear continuous operators acting in spaces of analytic functions of several variables. (Russian) Zbl 0567.47023
The condition for the representability of a linear operator T, acting in the space of analytic functions in polydisk, in the form \[ Tf(z)=\sum_{n\geq 0}\psi_ n(z)D^ nf(z)\quad (n\quad is\quad a\quad multiindex) \] is investigated. It is a generalization of Korobe«źnik’s results for the one-dimensional case.
Reviewer: A.Bukhvalov

MSC:
47B38 Linear operators on function spaces (general)
46E15 Banach spaces of continuous, differentiable or analytic functions
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