Hermitian decomposition of continuous functions on a fractal surface

Abstract:

In this paper the Théodoresco transform is used to show that, under additional assumptions, each Hölder continuous function f defined on the boundary Γ of a fractal domain Ω ⊂ ℝ²ⁿ can be expressed as f = Ψ⁺ - Ψ^-, where Ψ^± are Hölder continuous functions on Γ and Hermitian monogenically extendable to Ω and to ℝ²ⁿ ? (Ω ∪ Γ) respectively. © 2009, Sociedade Brasileira de Matemática.

Año de publicación:

2009

Keywords:

• fractal geometry
• Hermitian Clifford analysis
• Théodoreco transform

Fuente:

scopus