Generalized integral representations in Clifford analysis

DOI10.1080/17476930600672940zbMath1109.30039OpenAlexW2040302157MaRDI QIDQ3423527

Vu Thi Ngoc Ha, Heinrich Begehr, Zhong Xiang Zhang

Publication date: 14 February 2007

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930600672940

zbMATH Keywords

Helmholtz equationuniversal Clifford algebrahigher-order Cauchy-Pompeiu formula

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Functions of hypercomplex variables and generalized variables (30G35)

Related Items (9)

Some properties of the Teodorescu operator related to the α-Dirac operator ⋮ Integral formulas for higher order conformally invariant fermionic operators ⋮ Integral representations for hyperbolic harmonic function in the clifford algebra Cl_n+1,0 ⋮ Generalized integral representations for functions with values in \(C(V_{3,3})\) ⋮ Some properties of the higher spin Laplace operator ⋮ \((m,h)\)-monogenic functions related to axially symmetric Helmholtz equations ⋮ Higher order Borel-Pompeiu representations in Clifford analysis ⋮ Some Riemann boundary value problems in Clifford analysis (I) ⋮ Cauchy-type integral formula and Plemelj formula of hypermonogenic functions on unbounded domains

Cites Work

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• Higher-order partial differential equations in Clifford analysis. Effective solutions to problems
• On regular-analytic functions with values in a Clifford-algebra
• On the singularities of functions with values in a Clifford algebra
• Integral Representation Formulas in Polydomains
• Hypercomplex Function Theory and Hilbert Modules with Reproducing Kernel
• A Cauchy's Integral Formula for Functions with Values in a Universal Clifford Algebra and its Applications

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