Hilbert-Dirac operators in Clifford analysis

DOI10.1142/S0252959905000026zbMath1070.30023OpenAlexW2315001452MaRDI QIDQ1774255

Hennie De Schepper, Fred Brackx

Publication date: 29 April 2005

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

Full work available at URL: https://doi.org/10.1142/s0252959905000026

zbMATH Keywords

distributionsClifford analysisRiesz potentialsHilbert transformation

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Integral transforms, operational calculus (44A99)

Related Items (12)

Hardy spaces of solutions of generalized Riesz and Moisil–Teodorescu systems ⋮ A calculus scheme for Clifford distributions ⋮ Harmonic and monogenic potentials in low dimensional Euclidean half-space ⋮ On the Fourier spectra of distributions in Clifford analysis ⋮ On the radial derivative of the delta distribution ⋮ Generalized multidimensional Hilbert transforms in Clifford analysis ⋮ Harish-Chandra modules over the twisted Heisenberg-Virasoro algebra ⋮ Distributional Boundary Values of Harmonic Potentials in Euclidean Half-Space as Fundamental Solutions of Convolution Operators in Clifford Analysis ⋮ On a chain of harmonic and monogenic potentials in Euclidean half-space ⋮ Monogenic Curvature Tensor as Image Model ⋮ Clifford algebra-valued orthogonal polynomials in Euclidean space ⋮ Representation of distributions by harmonic and monogenic potentials in Euclidean space

Cites Work

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