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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles 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 1.48.

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Comparison of certain $H^ \infty$-domains of holomorphy
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by Ulf Backlund PDF
Trans. Amer. Math. Soc. 347 (1995), 2917-2926 Request permission

Abstract:

We study open sets defined by certain global plurisubharmonic functions in ${\mathbb {C}^N}$. We examine how the fact that the connected components of the sets are ${H^\infty }$-domains of holomorphy is related to the structure of the set of discontinuity points of the global defining functions and to polynomial convexity.
References
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 347 (1995), 2917-2926
  • MSC: Primary 32D05; Secondary 32E20, 32F05
  • DOI: https://doi.org/10.1090/S0002-9947-1995-1290713-7
  • MathSciNet review: 1290713