3D deformations by means of monogenic functions

Morais, João; Ferreira, Milton

http://hdl.handle.net/10400.8/3807

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Authors

Morais, João

Ferreira, Milton

Abstract(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.