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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On the integrals of a singular real analytic differential form in $ {\bf R}\sp n$


Author: A. Meziani
Journal: Trans. Amer. Math. Soc. 321 (1990), 583-594
MSC: Primary 58A10
MathSciNet review: 991966
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Abstract: In this paper, we study the constancy on the fibers for the continuous integrals of a complex-valued real analytic differential form in $ {R^n}$. Then we prove an isomorphism result between the space of smooth integrals and a space built from spaces of Whitney functions.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1990-0991966-8
PII: S 0002-9947(1990)0991966-8
Article copyright: © Copyright 1990 American Mathematical Society