Analytic Continuation and Classical Pseudoconvexity

Abstract

AbstractEvery introduction to complex analysis of several complex variables clarifies sooner or later the relation between domains of holomorphy and pseudoconvex domains, the latter defined by plurisubharmonic functions. In the first half of the twentieth century, intense research on these objects accumulated in the groundbreaking proof of Levi’s conjecture by Oka in 1942 on the equivalence of these two types of domains.