The Gelfand-Tsetlin bases for Hodge-de Rham systems in Euclidean spaces

DOI10.1002/mma.1563zbMath1253.30061arXiv1012.4998OpenAlexW2151628668MaRDI QIDQ2882709

Vladimír Souček, Richard Delanghe, Roman Lávička

Publication date: 7 May 2012

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.4998

zbMATH Keywords

Clifford analysisGelfand-Tsetlin basisgeneralized Moisil-Théodoresco systemHodge-de Rham system

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Applications of Lie groups to the sciences; explicit representations (22E70) Differential forms in global analysis (58A10) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (7)

Monogenic pseudo-complex power functions and their applications ⋮ Orthogonalization in Clifford Hilbert modules and applications ⋮ Fischer decomposition for massless fields of spin 1 in dimension 4 ⋮ On orthogonal monogenics in oblate spheroidal domains and recurrence formulae ⋮ Jacobi polynomials and generalized Clifford algebra‐valued Appell sequences ⋮ Generating functions for spherical harmonics and spherical monogenics ⋮ Fischer decomposition of massless fields for spin 3/2 in dimension 4

Uses Software

• CLIFFORD

Cites Work

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• Spinor-valued and Clifford algebra-valued harmonic polynomials

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