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On Polynomial Solutions of Generalized Moisil-Théodoresco Systems and Hodge-de Rham Systems

✍ Scribed by Richard Delanghe; Roman Lávička; Vladimír Souček

Publisher
Springer
Year
2010
Tongue
English
Weight
238 KB
Volume
21
Category
Article
ISSN
0188-7009

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📜 SIMILAR VOLUMES

On the solutions of the Moisil–Théodores
On the solutions of the Moisil–Théodoresco system
✍ Juan Bory Reyes; Richard Delanghe 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 128 KB

## Abstract A structure theorem is proved for the solutions to the Moisil–Théodoresco system in open subsets of ℝ^3^. Furthermore, it is shown that the Cauchy transform maps __L__~2~(ℝ^2^, ℝ~0, 2~^+^) isomorphically onto __H__^2^(ℝ~+~^3^, ℝ~0, 3~^+^), thus proving an elegant generalization to ℝ^2^