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

被引：0

作者：

Richard Delanghe

Roman Lávička

Vladimír Souček

机构：

[1] Ghent University,Clifford Research Group, Department of Mathematical Analysis

[2] Charles University,Mathematical Institute

来源：

Advances in Applied Clifford Algebras | 2011年 / 21卷

关键词：

30G35; 31C99; Moisil-Théodoresco equations; Clifford analysis; Hodge-de Rham equations; polynomial solutions;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The aim of the paper is to study relations between polynomial solutions of generalized Moisil-Théodoresco (GMT) systems and polynomial solutions of Hodge-de Rham systems and, using these relations, to describe polynomial solutions of GMT systems. We decompose the space of homogeneous solutions of GMT system of a given homogeneity into irreducible pieces under the action of the group O(m) and we characterize individual pieces by their highest weights and we compute their dimensions.

引用

页码：521 / 530

页数：9

共 18 条

[1] On Polynomial Solutions of Generalized Moisil-Th,odoresco Systems and Hodge-de Rham Systems
Delanghe, Richard
Lavicka, Roman
Soucek, Vladimir
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2011, 21 (03) : 521 - 530
[2] On Homogeneous Polynomial Solutions of the Moisil-Théodoresco System in ℝ3
Richard Delanghe
Computational Methods and Function Theory, 2009, 9 (1) : 199 - 212
[3] On the Structure of Solutions of the Moisil-Théodoresco System in Euclidean Space
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Advances in Applied Clifford Algebras, 2009, 19 : 15 - 28
[4] On Hodge-de Rham Systems in Hyperbolic Clifford Analysis
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11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013, PTS 1 AND 2 (ICNAAM 2013), 2013, 1558 : 492 - 495
[5] The Fischer decomposition for Hodge-de Rham systems in Euclidean spaces
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Delanghe, Richard
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MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2012, 35 (01) : 10 - 16
[6] Orthogonal Appell Bases for Hodge-de Rham Systems in Euclidean Spaces
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[7] Orthogonal Appell Bases for Hodge-de Rham Systems in Euclidean Spaces
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ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2013, 23 (01) : 113 - 124
[8] The Gelfand-Tsetlin bases for Hodge-de Rham systems in Euclidean spaces
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MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2012, 35 (07) : 745 - 757
[9] Solutions of Inhomogeneous Generalized Moisil–Teodorescu Systems in Euclidean Space
Juan Bory-Reyes
Marco Antonio Pérez-de la Rosa
Advances in Applied Clifford Algebras, 2019, 29
[10] Hardy spaces of solutions of generalized Riesz and Moisil-Teodorescu systems
Brackx, F.
Delanghe, R.
De Schepper, H.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2012, 57 (7-8) : 771 - 785

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