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A remark on the Moisil-Teodorescu system

✍ Scribed by N. N. Tarkhanov

Publisher
SP MAIK Nauka/Interperiodica
Year
1988
Tongue
English
Weight
374 KB
Volume
28
Category
Article
ISSN
0037-4466

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## 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^

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