Showing papers by "Lawrence Zalcman published in 2012"
01 Jan 2012
TL;DR: In this article, the authors survey progress on this problem over the past 40 years, with an emphasis on recent results, and give a survey of the most recent results. But they do not consider the problem of proving that a continuous function on a plane domain is holomorphic.
Abstract: Under what conditions can one conclude that a continuous function on a plane domain Ω is holomorphic, given that its restrictions to a collection of Jordan curves in Ω which cover Ω admit holomorphic extensions? We survey progress on this problem over the past 40 years, with an emphasis on recent results.
2 citations