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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Complex retractions and envelopes of holomorphy
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by S. Trapani PDF
Proc. Amer. Math. Soc. 104 (1988), 145-148 Request permission

Abstract:

In this paper we show that if a domain $\Omega$ of a Stein manifold $X$ is a "holomorphic deformation retract" of a domain of holomorphy $D \subseteq X$, then $\Omega$ has a univalent envelope of holomorphy ${\Omega ^*} \subseteq X$.
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 104 (1988), 145-148
  • MSC: Primary 32D10; Secondary 32E15
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0958057-X
  • MathSciNet review: 958057