RATIONAL APPROXIMATION AND PLURIPOLAR SETS

Abstract

The main result in the article isTheorem. Let be a closed set such that and is a pseudoconvex domain. If for almost every complex line passing through 0 the intersection is polar in , then is a pluripolar set in .This theorem is then applied to the analysis of sets of singularities of holomorphic functions which are rapidly approximated by rational functions.Bibliography: 21 titles.

Identifiers

DOI

10.1070/sm1984v047n01abeh002632

Citations and references