Constructing three-dimensional mappings onto the unit sphere with the hypercomplex Szegő kernel

DOI10.1016/j.cam.2009.11.034zbMath1184.30046OpenAlexW2003643386MaRDI QIDQ848544

Dennis Grob, Denis Constales, Rolf Sören Krausshar

Publication date: 4 March 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.11.034

zbMATH Keywords

numerical conformal mappingClifford analysishypercomplex Szegő kernelthree-dimensional mapping problems

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Cites Work

• On the Bergmann kernel function in hyperholomorphic analysis
• An introduction to Dirac operators on manifolds
• Function theory in plane and space
• A 3-dimensional Bergman kernel method with applications to rectangular domains
• The Bergman and Szegö kernels for separately monogenic functions
• Szegő projections for Hardy spaces of monogenic functions and applications
• Hilbert spaces of solutions to polynomial Dirac equations, Fourier transforms and reproducing kernel functions for cylindrical domains
• Szegö and Polymonogenic Bergman Kernels for Half-Space and Strip Domains, and Single-Periodic Functions in Clifford Analysis
• Power series representation for monogenic functions in based on a permutational product
• Hypercomplex Function Theory and Hilbert Modules with Reproducing Kernel
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