Abstract
The theory of holomorphic functions of several variables and the theory of monogenic functions (Clifford-analytic functions) are similar in the following sense. We write \({C^m} = {R^m} \oplus i{R^m}\) and \({R^{m + 1}} = {R^m} \oplus R\) Let f be a real-valued, real analytic function defined in an open subset of \({R^m}\) f may be extended to a holomorphic function on an open subset of C m or to a monogenic function on an open set of R m+1; roughly speaking the knowledge of the latter is equivalent of the knowledge of the former. This motivates an explicit change from a holomorphic function to a monogenic function.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
