Pommiez operators in spaces of analytic functions several complex variables are examined. Linear continuous that commute with the system space A(Ω) a polycylindrical domain Ω and countable inductive limit Fréchet weighted entire described. Cyclic vectors studied.

In this talk, we’ll present some recent results related to group actions in several complex variables. We’ll not aim at giving a complete survey about the topic but giving some our own results and related ones. We’ll divide the results into two cases: compact and noncompact transformation groups. We emphasize some essential differences between the two cases. In the compact case, we’ll mention s...

Lin, Q. and J.G. Rokne, Circular centered forms for rational functions in several complex variables, Journal of Computational and Applied Mathematics 41 (1992) 347-357. As a continuation of Rokne (this journal, 19871, this paper considers the explicit representation and inclusion properties as well as convergence of circular centered forms for rational complex functions in several variables. !?...

Let ϕ be a real-valued plurisubharmonic function on [Formula: see text] whose complex Hessian has uniformly comparable eigenvalues, and let [Formula: see text] be the Fock space induced by ϕ. In this paper, we conclude that the Bergman projection is bounded from the pth Lebesgue space [Formula: see text] to [Formula: see text] for [Formula: see text]. As a remark, we claim that Bergman projecti...