Structure of solutions of polynomial Dirac equations in Clifford analysis

DOI10.1080/02781070310001634593zbMath1054.30049OpenAlexW2515240414MaRDI QIDQ4464242

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Publication date: 27 May 2004

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02781070310001634593

zbMATH Keywords

Dirac operatormonogenic functionspolynomials of the Dirac operator

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (14)

Expansions for the Dirac operator and related operators in super spinor space ⋮ A fourth-order elliptic Riemann type problem in \(\mathbb{R}^{3}\) ⋮ Generalized Almansi expansions in superspace ⋮ On the Riemann boundary value problem for null solutions to iterated generalized Cauchy-Riemann operator in Clifford analysis ⋮ Riemann boundary value problems on the sphere in Clifford analysis ⋮ Almansi decomposition of polynomials of quaternionic Dirac operators ⋮ Polynomial Dirac operators in superspace ⋮ Riemann boundary value problems on half space in Clifford analysis ⋮ Applications of the maximum term and the central index in the asymptotic growth analysis of entire solutions to higher dimensional polynomial Cauchy–Riemann equations ⋮ On structure of inframonogenic functions ⋮ Solutions to the polynomial Dirac equations on unbounded domains in Clifford analysis ⋮ Solutions for the Lévy-Leblond or parabolic Dirac equation and its generalizations ⋮ Eigenvalue problems for slice functions ⋮ Dirac operators with gradient potentials and related monogenic functions

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