Abstract
We examine a way of using the parametric continuation method to compute mappings of the unit ball in $$n$$ -dimensional real space. The proposed approach yielded sufficient and necessary conditions for the global injectivity of mappings were obtained. It is established that these conditions actually coincide with the known features of the $$n$$ -dimensional complex space. The concretization of the method made here are the generalizations of some classes of functions analytic in the unit circle. In addition, the analogue of the Kaplan class was derived for mappings in $$n$$ -dimensional real space.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.