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

Boundary value problems

Ricardo Abreu-Blaya¹  Paul Bosch⁵  Juan Bory-Reyes⁶ 

[1] Departamento de MatemáFacultad de Ingeniería, Universidad Diego Portales, Santiago de Chile, Chile;n, Cuba;n, Holguítica, Universidad de Holguítica, niversidad de Oriente, Santiago de Cuba, Cuba

关键词: Dirac Operator;    Clifford Algebra;    Extension Theorem;    Fractal Boundary;    Monogenic Function;   

DOI  :  10.1155/2010/513186

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY