Extension Theorem for Complex Clifford Algebras-Valued Functions on Fractal Domains

Research paper by Ricardo Abreu-Blaya, Juan Bory-Reyes, Paul Bosch

Indexed on: 30 Mar '10Published on: 30 Mar '10Published in: Boundary Value Problems


Monogenic extension theorem of complex Clifford algebras-valued functions over a bounded domain with fractal boundary is obtained. The paper is dealing with the class of Hölder continuous functions. Applications to holomorphic functions theory of several complex variables as well as to that of the so-called biregular functions will be deduced directly from the isotonic approach.