The existence of Cauchy kernels of Kravchenko-generalized Dirac operators

DOI10.1007/s00006-020-01106-3zbMath1456.30088OpenAlexW3099427486MaRDI QIDQ2220770

Doan Cong Dinh

Publication date: 25 January 2021

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-020-01106-3

zbMATH Keywords

generalized Cauchy kernelgeneralized monogenic functionsstatic Maxwell system

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Functions of hypercomplex variables and generalized variables (30G35)

Related Items (1)

Electrostatic fields in some special inhomogeneous media and new generalizations of the Cauchy-Riemann system

Cites Work

• Quaternionic reformulation of Maxwell equations for inhomogeneous media and new solutions
• Generalized \((k_i)\)-monogenic functions
• The static Maxwell system in three dimensional axially symmetric inhomogeneous media and axially symmetric generalization of the Cauchy-Riemann system
• Contributions to the theory of hypermonogenic functions
• Quaternionic factorization of the Schrödinger operator and its applications to some first-order systems of mathematical physics
• On the solution of the static Maxwell system in axially symmetric inhomogeneous media
• Fundamental solutions for a class of equations with several singular coefficients
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