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A Short Note on the Local Solvability of the Quaternionic Beltrami Equation |
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| Authors: | Juan Bory Reyes Paula Cerejeiras Alí Guzmán Adán Uwe Kähler |
| Affiliation: | 1. Departamento de Matemática, Universidad de Oriente, Santiago de Cuba, 90500, Cuba 2. Departamento de Matemática, Universidade de Aveiro, P-3810-159, Aveiro, Portugal 3. Departamento de Matemática, Universidad de Oriente, Santiago de Cuba, 90500, Cuba 4. Departamento de Matemática, Universidade de Aveiro, P-3810-159, Aveiro, Portugal |
| Abstract: | In this paper we discuss the local solvability of the inhomogeneous Beltrami equations in Quaternionic Analysis. We give an example of a Beltrami equation with no distributional solution and deduce the compatibility condition. This study is closely linked to the study of Dirac operators with non-constant coefficients. |
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