Liouville Theorem for Dunkl Polyharmonic Functions
Assume that $f$ is Dunkl polyharmonic in $mathbb{R}^n$ (i.e. $(Delta_h)^p f=0$ for some integer $p$, where $Delta_h$ is the Dunkl Laplacian associated to a root system $R$ and to a multiplicity function $kappa$, defined on $R$ and invariant with respect to the finite Coxeter group). Necessary and su...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
National Academy of Science of Ukraine
2008-11-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.3842/SIGMA.2008.076 |