Analyticity on curves

Mark Agranovsky; Lawrence Zalcman

doi:10.1007/978-88-470-1947-8_4

Analyticity on curves

Mark Agranovsky
, Lawrence Zalcman

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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
Pages (from-to)	25-44
Number of pages	20
Journal	Springer Proceedings in Mathematics
Volume	16
DOIs	https://doi.org/10.1007/978-88-470-1947-8_4
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
European Science Foundation
Israel Science Foundation	395/07, 688/08

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10.1007/978-88-470-1947-8_4

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Analyticity on curves

Abstract

Bibliographical note

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