Generalized integral representations for functions with values in \(C(V_{3,3})\)

DOI10.1007/s11401-010-0619-yzbMath1214.30042OpenAlexW2046005436MaRDI QIDQ2430344

Klaus Gürlebeck, Zhong Xiang Zhang

Publication date: 6 April 2011

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-010-0619-y

zbMATH Keywords

Helmholtz equationuniversal Clifford algebrageneralized Cauchy-Pompeiu formula

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (5)

Boundary value problems for modified Helmholtz equations and applications ⋮ A fourth-order elliptic Riemann type problem in \(\mathbb{R}^{3}\) ⋮ A kind of Riemann boundary value problems for pseudo-harmonic functions in Clifford analysis ⋮ Higher order Borel-Pompeiu representations in Clifford analysis ⋮ Dirac operators with gradient potentials and related monogenic functions

Cites Work

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• On the asymptotic growth of entire monogenic functions
• On the singularities of functions with values in a Clifford algebra
• Integral Representation Formulas in Polydomains
• Some Riemann boundary value problems in Clifford analysis
• On Cauchy estimates and growth orders of entire solutions of iterated Dirac and generalized Cauchy–Riemann equations
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• 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
• Integral representations in quaternionic analysis related to the helmholtz operator
• Some properties of operators in Clifford analysis

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