On a modified teodorescu transform

DOI10.1080/10652460108819346zbMath1022.44003OpenAlexW2022627133MaRDI QIDQ4409753

H. Bahmann, Michael V. Shapiro, Wolfgang Sprössig, Klaus Gürlebeck

Publication date: 30 June 2003

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460108819346

zbMATH Keywords

boundary value problemHelmholtz equationsClifford operator calculusTeodorescu transformright inverse operatorMacDonald functiongeneralized Dirac operatorMaxwell systemsnonlinear Landesman-Lazar

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) PDEs in connection with optics and electromagnetic theory (35Q60) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Calculus of Mikusi?ski and other operational calculi (44A40) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

• Helmholtz operator with a quaternionic wave number and associated function theory. II: Integral representations
• Quaternionic analysis and elliptic boundary value problems
• Approximation based on nonscalar observations
• Eine einheitliche Herleitung verschiedener Interpolationsformeln mittels der Taylorschen Formel der Operatorenrechnung
• Cauchy-Green Type Formulae in Clifford Analysis
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