Explicit solutions of the inhomogeneous Dirac equation

DOI10.1007/BF02788022zbMath0883.30041OpenAlexW1967888884MaRDI QIDQ1361053

Bernard Jancewicz, Fransiscus Sommen

Publication date: 9 March 1998

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02788022

zbMATH Keywords

Dirac equationCauchy-Kowalewski problem

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (11)

A product for special classes of monogenic functions and tensors ⋮ Segal-Bargmann-Fock modules of monogenic functions ⋮ Some power series expansions for monogenic functions ⋮ Two-index Clifford-Hermite polynomials with applications in wavelet analysis ⋮ Closed form of the Fourier-Borel kernel in the framework of Clifford analysis ⋮ On representations of real analytic functions by monogenic functions ⋮ Special power series expansions of monogenic functions around surfaces of codimension two ⋮ Solutions for the Lévy-Leblond or parabolic Dirac equation and its generalizations ⋮ Monogenic Gaussian distribution in closed form and the Gaussian fundamental solution ⋮ Eigenvalue problems for slice functions ⋮ Clifford analysis in two and several vector variables

Cites Work

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• Monogenic differential operators
• Special bi-axial monogenic functions
• Plane wave decompositions of monogenic functions

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