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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Testing analyticity on rotation invariant families of curves
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by Josip Globevnik PDF
Trans. Amer. Math. Soc. 306 (1988), 401-410 Request permission

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 $s$, $|s| = 1$, then $f$ is analytic in Int $\Omega$.
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 306 (1988), 401-410
  • MSC: Primary 30E25; Secondary 30C99, 42C99
  • DOI: https://doi.org/10.1090/S0002-9947-1988-0927697-0
  • MathSciNet review: 927697