On structure of inframonogenic functions

DOI10.1007/s00006-021-01157-0zbMath1476.30159OpenAlexW3169575478MaRDI QIDQ2047492

Doan Cong Dinh

Publication date: 20 August 2021

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-021-01157-0

zbMATH Keywords

Almansi-type theoremsinframonogenic functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (8)

Representation of solutions of Lamé-Navier system ⋮ Integral representation formulas for higher order Dirac equations ⋮ On the Dirichlet problem for second order elliptic systems in the ball ⋮ Two spheres uniquely determine infrabimonogenic functions ⋮ Boundary value problems for a second‐order elliptic partial differential equation system in Euclidean space ⋮ Iterated generalized Dirac operators of mixed sides ⋮ Reduced‐quaternion inframonogenic functions on the ball ⋮ Sets of uniqueness for infrapolymonogenic functions

Cites Work

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• The structure of the solutions of polynomial Dirac equations in real Clifford analysis
• A Cauchy integral formula for infrapolymonogenic functions in Clifford analysis
• A Cauchy integral formula for inframonogenic functions in Clifford analysis
• On monogenic series expansions with applications to linear elasticity
• A Cauchy-Kowalevski theorem for inframonogenic functions
• Fischer decomposition by inframonogenic functions
• Structure of solutions of polynomial Dirac equations in Clifford analysis
• Inframonogenic functions and their applications in 3‐dimensional elasticity theory
• Almansi‐type theorems in Clifford analysis
• Decomposition of inframonogenic functions with applications in elasticity theory

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