RATIONAL APPROXIMATION AND PLURIPOLAR SETS

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.

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