Some functorial properties of microlocalization for 𝓓-modules
We study extensions of classical theorems on gap power series of a complex variable to the multidimensional case.
It is a survey article showing how an enhanced version of the Banach contraction principle can lead to generalizations of attractors of iterated function systems and to Julia type sets.
We present a collection of problems in complex analysis and complex dynamics in several variables.
We first establish the equivalence between hyperconvexity of a fat bounded Reinhardt domain and the existence of a Stein neighbourhood basis of its closure. Next, we give a necessary and sufficient condition on a bounded Reinhardt domain D so that every holomorphic mapping from the punctured disk into D can be extended holomorphically to a map from Δ into D.