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 $C^2$.
English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 2, pp 266-277.
Citation Example: Osipchuk T. M., Tkachuk M. V. Analytic criterion for linear convexity of Hartogs domains with smooth boundary in $H^2$ // Ukr. Mat. Zh. - 2011. - 63, № 2. - pp. 226-236.