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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Removable singularity sets for analytic functions having modulus with bounded Laplace mass


Author: Urban Cegrell
Journal: Proc. Amer. Math. Soc. 88 (1983), 283-286
MSC: Primary 32D20; Secondary 31C10
MathSciNet review: 695259
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Abstract: We prove that certain closed sets are removable singularity sets for analytic functions having modulus with bounded Laplace mass. As a special case, we find that every function which is analytic and with modulus having a harmonic majorant outside an analytic set extends analytically across this set.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1983-0695259-X
PII: S 0002-9939(1983)0695259-X
Keywords: Removable singularity set, analytic function, harmonic majorant
Article copyright: © Copyright 1983 American Mathematical Society