Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Testing analyticity on rotation invariant families of curves


Author: Josip Globevnik
Journal: Trans. Amer. Math. Soc. 306 (1988), 401-410
MSC: Primary 30E25; Secondary 30C99, 42C99
MathSciNet review: 927697
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $ \Gamma \subset C$ be a piecewise smooth Jordan curve, symmetric with respect to the real axis, which contains the origin in its interior and which is not a circle centered at the origin. Let $ \Omega $ be the annulus obtained by rotating $ \Gamma $ around the origin. We characterize the curves $ \Gamma $ with the property that if $ f \in C(\Omega )$ is analytic on $ s\Gamma $ for every $ s$, $ \vert s\vert = 1$, then $ f$ is analytic in Int $ \Omega $.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 30E25, 30C99, 42C99

Retrieve articles in all journals with MSC: 30E25, 30C99, 42C99


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1988-0927697-0
PII: S 0002-9947(1988)0927697-0
Article copyright: © Copyright 1988 American Mathematical Society