@Article{Łysik2015,
author = "Łysik, Grzegorz",
title = "On mean-value properties for the Dunkl polyharmonic functions",
journal = "Opuscula Math.",
year = "2015",
volume = "35",
number = "5",
pages = "655--664",
doi = "http://dx.doi.org/10.7494/OpMath.2015.35.5.655",
url = "http://dx.doi.org/10.7494/OpMath.2015.35.5.655",
abstract = "We derive differential relations between the Dunkl spherical and solid means of continuous functions. Next we use the relations to give inductive proofs of mean-value properties for the Dunkl polyharmonic functions and their converses.",
keywords = "Dunkl Laplacian, Dunkl polyharmonic functions, mean-values, Pizzetti formula",
issn = "1232-9274"
}