Analyticity on translates of a Jordan curve

Author:
Josip Globevnik

Journal:
Trans. Amer. Math. Soc. **359** (2007), 5555-5565

MSC (2000):
Primary 30E20

DOI:
https://doi.org/10.1090/S0002-9947-07-04264-X

Published electronically:
May 8, 2007

MathSciNet review:
2327042

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a domain in which is symmetric with respect to the real axis and whose boundary is a real analytic simple closed curve. Translate vertically to get where is such that . We prove that if is a continuous function on such that for each , the function has a continuous extension to which is holomorphic on , then is holomorphic on .

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Additional Information

**Josip Globevnik**

Affiliation:
Institute of Mathematics, Physics and Mechanics, University of Ljubljana, Ljubljana, Slovenia

Email:
josip.globevnik@fmf.uni-lj.si

DOI:
https://doi.org/10.1090/S0002-9947-07-04264-X

Received by editor(s):
June 15, 2005

Received by editor(s) in revised form:
December 1, 2005

Published electronically:
May 8, 2007

Article copyright:
© Copyright 2007
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.