Some properties of the Teodorescu operator related to the α-Dirac operator

DOI10.1080/00036811.2014.926334zbMath1303.30047OpenAlexW2075654926WikidataQ58147190 ScholiaQ58147190MaRDI QIDQ2933127

Yuying Qiao, Liping Wang, Heju Yang

Publication date: 10 December 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.926334

zbMATH Keywords

Clifford analysisTeodorescu operator{\(\alpha\)}-Dirac operator

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (5)

Some properties of a kind of generalized Teodorescu operator in Clifford analysis ⋮ Some properties and applications of the Teodorescu operator associated to the Helmholtz equation ⋮ Plemelj formula of inframonogenic functions and their boundary value problems ⋮ Boundary value problems for non-linear first order systems of partial differential equations in higher dimensions, especially in three dimensions ⋮ The Riemann boundary value problem related to the time-harmonic Maxwell equations

Cites Work

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• Helmholtz operator with a quaternionic wave number and associated function theory. II: Integral representations
• A hierarchy of integral operators
• Some properties of a kind of higher order singular Teodorescu operator inRⁿ
• Generalized integral representations in Clifford analysis
• A function theory for the operator D-λ
• Integral representations in quaternionic analysis related to the helmholtz operator
• Green's function for the Helmholtz equation in a layered half-space

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