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Proceedings of the American Mathematical Society

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

 

 

Decomposition of normal currents


Author: Maciej Zworski
Journal: Proc. Amer. Math. Soc. 102 (1988), 831-839
MSC: Primary 49F20; Secondary 53C35
DOI: https://doi.org/10.1090/S0002-9939-1988-0934852-8
MathSciNet review: 934852
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Abstract: As an answer to a question of Frank Morgan, it is shown that there exist normal currents which cannot be represented as convex integrals of rectifiable currents. However, under certain additional hypotheses, such decompositions exist. Examples are given to indicate that such hypotheses are necessary.


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DOI: https://doi.org/10.1090/S0002-9939-1988-0934852-8
Article copyright: © Copyright 1988 American Mathematical Society