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Some curiosities of rings of analytic functions

✍ Scribed by C.U. Jensen


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
419 KB
Volume
38
Category
Article
ISSN
0022-4049

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From the ring theoretical viewpoint, especially from the viewpoint of Real Algebra, we consider the ring of analytic functions deΓΏnable in a given o-minimal expansion of the real ΓΏeld on a deΓΏnable real analytic manifold. We ΓΏnd necessary conditions for o-minimal structures that Artin-Lang property,

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We consider a class of analytic functions that are closely related to approximate conformal mappings of simply connected domains onto the unit disk. Using a result of Warschawski, we improve upon our estimates of the argument in the considered class for the important case when the mapping is nearly