A hyperbolic Dirac operator and its kernels

DOI10.1080/17476933.2011.620096zbMath1276.30060OpenAlexW1548157923MaRDI QIDQ5300221

Sirkka-Liisa Eriksson

Publication date: 26 June 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2011.620096

zbMATH Keywords

hyperbolic metricmonogenic functionmodified Dirac operatorhypermonogenic function

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (5)

Integral representations for hyperbolic harmonic function in the clifford algebra Cl_n+1,0 ⋮ Fundamental solutions for the Laplace-Beltrami operator defined by the conformal hyperbolic metric and Jacobi polynomials ⋮ A New Cauchy Type Integral Formula for Quaternionic k-hypermonogenic Functions ⋮ \((m,h)\)-monogenic functions related to axially symmetric Helmholtz equations ⋮ Cauchy-type integral formula and Plemelj formula of hypermonogenic functions on unbounded domains

Cites Work

• Hyperbolic extensions of integral formulas
• Hypermonogenic functions and Möbius transformations
• An improved Cauchy formula for hypermonogenic functions
• Hyperbolic function theory
• Function theory for Laplace and Dirac-Hodge operators in hyperbolic space
• Contributions to the theory of hypermonogenic functions
• Modified clifford analysis
• Modified quaternionic analysis in
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