Integral kernels for k-hypermonogenic functions
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Vuojamo , V & Eriksson , S-L 2017 , ' Integral kernels for k-hypermonogenic functions ' , Complex Variables and Elliptic Equations , vol. 62 , no. 9 , pp. 1254-1265 . https://doi.org/10.1080/17476933.2016.1250402
| Title: | Integral kernels for k-hypermonogenic functions |
| Author: | Vuojamo, Vesa; Eriksson, Sirkka-Liisa |
| Contributor organization: | Department of Mathematics and Statistics |
| Date: | 2017 |
| Language: | eng |
| Number of pages: | 12 |
| Belongs to series: | Complex Variables and Elliptic Equations |
| ISSN: | 1747-6933 |
| DOI: | https://doi.org/10.1080/17476933.2016.1250402 |
| URI: | http://hdl.handle.net/10138/307307 |
| Abstract: | We consider the modified Cauchy- Riemann operator M-k = Sigma(n)(i=0)=0(ei partial derivative xi) + k/xn Q' in the universal Clifford algebra Cl-0,Cl-n with the basis e1, ... ,en. The null- solutions of this operator are called k-hypermonogenic functions. We calculate the k- hyperbolic harmonic fundamental solutions, i. e. solutions to M-k(M)over bar(k)f = 0, and use these solutions to find k-hypermonogenic kernels for a Cauchy-type integral formula in the upper half-space. |
| Subject: |
k-hypermonogenic
k-hyperbolic harmonic hyperbolic Laplace-Beltrami Clifford algebra Cauchy integral formula FORMULAS 111 Mathematics |
| Peer reviewed: | Yes |
| Usage restriction: | openAccess |
| Self-archived version: | acceptedVersion |
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