The Teodorescu operator in Clifford analysis

DOI10.1007/s11401-012-0717-0zbMath1254.30080OpenAlexW1993499915MaRDI QIDQ692461

Hennie De Schepper, Fred Brackx, Michael V. Shapiro, Maria Elena Luna-Elizarrarás

Publication date: 6 December 2012

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

Full work available at URL: http://hdl.handle.net/1854/LU-3032098

zbMATH Keywords

Dirac operatorClifford analysisTeodorescu operator

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (1)

Some properties of a kind of generalized Teodorescu operator in Clifford analysis

Cites Work

• On fundamental solutions in Clifford analysis
• On Cauchy and Martinelli-Bochner integral formulae in Hermitean Clifford analysis
• On the Fourier spectra of distributions in Clifford analysis
• A matrix Hilbert transform in Hermitean Clifford analysis
• The Howe dual pair in Hermitean Clifford analysis
• The Hermitian Clifford analysis toolbox
• Spherical means, distributions and convolution operators in Clifford analysis
• A calculus scheme for Clifford distributions
• Fundaments of Hermitean Clifford analysis. I: Complex structure
• A theoretical framework for wavelet analysis in a Hermitean Clifford setting
• Multi-vector spherical monogenics, spherical means and distributions in Clifford analysis
• Differential forms versus multi-vector functions in Hermitean Clifford analysis
• Complexified clifford analysis
• Hermitian Clifford analysis and resolutions
• Fundaments of Hermitean Clifford analysis part II: splitting ofh-monogenic equations
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