Hermitian decomposition of continuous functions on a fractal surface |
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| Authors: | Ricardo Abreu Blaya Juan Bory Reyes Tania Moreno García |
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| Affiliation: | (1) Facultad de Informática y Matemática, Universidad de Holguín, Holguín, 80100, Cuba;(2) Departamento de Matemática, Universidad de Oriente, Santiago de Cuba, 90500, Cuba;(3) Facultad de Informática y Matemática, Universidad de Holguín, Holguín, 80100, Cuba |
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| 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 ? ?2n can be expressed as f = Ψ+ ? Ψ?, where Ψ± are Hölder continuous functions on Γ and Hermitian monogenically extendable to Ω and to ?2n ? (Ω ∪ Γ) respectively. |
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| Keywords: | Hermitian Clifford analysis Théodoreco transform Fractal geometry |
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