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