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.
Original language | English |
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Pages (from-to) | 25-44 |
Number of pages | 20 |
Journal | Springer Proceedings in Mathematics |
Volume | 16 |
DOIs | |
State | Published - 2012 |
Bibliographical note
Funding Information:This work was partially supported by Israel Science Foundation Grants 688/08 and 395/07 and is a part of the European Science Foundation Networking Programme HCAA.
Funding
This work was partially supported by Israel Science Foundation Grants 688/08 and 395/07 and is a part of the European Science Foundation Networking Programme HCAA.
Funders | Funder number |
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European Science Foundation | |
Israel Science Foundation | 395/07, 688/08 |