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Analytic criterion for linear convexity of Hartogs domains with smooth boundary in $H^2$

We establish a criterion of the local linear convexity of sets in the two-dimensional quaternion space $H^2$, that are similar to the bounded Hartogs domains with smooth boundaries in the two-dimensional complex space $C^2$.

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Bibliographic Details
Date:	2011
Main Authors:	Osipchuk, T. M., Tkachuk, M. V., Осипчук, Т. М., Ткачук, М. В.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2011
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2713
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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