3D deformations by means of monogenic functions |
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| Authors: | J Morais M Ferreira |
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| Institution: | 1. Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, , 3810‐193 Aveiro, Portugal;2. School of Technology and Management, Polytechnic Institute of Leiria, , 2411‐901 Leiria, Portugal |
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| Abstract: | In this paper, the authors compute the coefficient of quasiconformality for monogenic functions in an arbitrary ball of the Euclidean space  . This quantification may be needed in applications but also appears 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. Copyright © 2012 John Wiley & Sons, Ltd. |
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| Keywords: | quaternion analysis Riesz system monogenic functions quasiconformal mappings |
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