Integral kernels for k-hypermonogenic functions
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Details
| Original language | English |
|---|---|
| Pages (from-to) | 1-12 |
| Number of pages | 12 |
| Journal | Complex Variables and Elliptic Equations |
| Volume | 62 |
| Issue number | 9 |
| Early online date | 21 Feb 2017 |
| DOIs | |
| Publication status | Published - 2017 |
| Publication type | A1 Journal article-refereed |
Abstract
We consider the modified Cauchy–Riemann operator (Formula presented.) in the universal Clifford algebra (Formula presented.) with the basis (Formula presented.). The null-solutions of this operator are called k-hypermonogenic functions. We calculate the k-hyperbolic harmonic fundamental solutions, i.e. solutions to (Formula presented.), and use these solutions to find k-hypermonogenic kernels for a Cauchy-type integral formula in the upper half-space.
ASJC Scopus subject areas
Keywords
- Cauchy integral formula, Clifford algebra, hyperbolic Laplace–Beltrami, k-hyperbolic harmonic, k-hypermonogenic