On the solutions of the Moisil–Théodoresco system |
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| Authors: | Juan Bory Reyes Richard Delanghe |
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| Institution: | 1. Departamento de Matemáticas, Universidad de Oriente, Santiago de Cuba 90500, Cuba;2. Department of Mathematical Analysis, Ghent University, Galglaan 2, B‐9000 Ghent, Belgium |
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| Abstract: | A structure theorem is proved for the solutions to the Moisil–Théodoresco system in open subsets of ?3. Furthermore, it is shown that the Cauchy transform maps L2(?2, ?0, 2+) isomorphically onto H2(?+3, ?0, 3+), thus proving an elegant generalization to ?2 of the classical notion of an analytic signal on the real line. Copyright © 2008 John Wiley & Sons, Ltd. |
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| Keywords: | Clifford analysis Moisil– Thé odoresco system Cauchy transform analytic signal |
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