Explicit formulas for the Green's function and the Bergman kernel for monogenic functions in annular shaped domains in \(\mathbb{R}^{n+1}\)

DOI10.1007/S00025-009-0015-7zbMath1206.30068OpenAlexW2036165296MaRDI QIDQ708734

Dennis Grob, Denis Constales, Rolf Sören Krausshar

Publication date: 14 October 2010

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-009-0015-7

zbMATH Keywords

Dirichlet problemGreen's functionheat conductionBergman kernelannular domainsClifford anlysis

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (2)

Reproducing kernel functions of solutions to polynomial Dirac equations in the annulus of the unit ball in \(\mathbb R^n\) and applications to boundary value problems ⋮ On generalized Helmholtz type equations in concentric annular domains in ℝ³

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Bergmann kernel function in hyperholomorphic analysis
• The Bergman and Szegö kernels for separately monogenic functions
• Aspects of Dirac operators in analysis
• Szegő projections for Hardy spaces of monogenic functions and applications
• Quaternionic analysis and elliptic boundary value problems
• The Bergman Kernels for the half-ball and for fractional wedge-shaped domains in Clifford Analysis
• Hypercomplex Function Theory and Hilbert Modules with Reproducing Kernel
• Bergman kernels for rectangular domains and multiperiodic functions in Clifford analysis
• On the Navier–Stokes equations with free convection in three‐dimensional unbounded triangular channels

This page was built for publication: Explicit formulas for the Green's function and the Bergman kernel for monogenic functions in annular shaped domains in \(\mathbb{R}^{n+1}\)