On polynomial solutions of generalized Moisil-Theodoresco systems and Hodge-de Rham systems - Mathematics > Complex VariablesReport as inadecuate




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Abstract: The aim of the paper is to study relations between polynomial solutions ofgeneralized Moisil-Theodoresco GMT systems and polynomial solutions ofHodge-de Rham systems and, using these relations, to describe polynomialsolutions of GMT systems. We decompose the space of homogeneous solutions ofGMT system of a given homogeneity into irreducible pieces under the action ofthe group Om and we characterize individual pieces by their highest weightsand we compute their dimensions.



Author: Richard Delanghe, Roman Lavicka, Vladimir Soucek

Source: https://arxiv.org/



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