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3D deformations by means of monogenic functions
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Autores
Orientador(es)
Resumo(s)
In this paper, the authors compute the coefficient of quasiconformality for monogenic functions in an arbitrary ball of the Euclidean space $\mathbb{R}^3$. This quantification may be needed in applications but also appear to be of intrinsic interest. The main tool used is a 3D Fourier series development of monogenic functions in terms of a special set of solid spherical monogenics. Ultimately, we present some examples showing the applicability of our approach.
Descrição
Palavras-chave
Quaternion analysis Riesz system Monogenic functions Quasiconformal mappings
Contexto Educativo
Citação
Ferreira M., and Morais J., 3D deformations by means of monogenic functions, Math. Meth. Appl. Sci., 36(7) (2013), 780-793
Editora
Wiley Online Library