TY  - JOUR
ID  - Łysik2015
LB  - Łysik2015
AU  - Łysik, Grzegorz
TI  - On mean-value properties for the Dunkl polyharmonic functions
ST  - On mean-value properties for the Dunkl polyharmonic functions
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2015
VL  - 35
IS  - 5
SP  - 655
EP  - 664
DO  - http://dx.doi.org/10.7494/OpMath.2015.35.5.655
UR  - http://dx.doi.org/10.7494/OpMath.2015.35.5.655
AB  - 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.
KW  - Dunkl Laplacian
KW  - Dunkl polyharmonic functions
KW  - mean-values
KW  - Pizzetti formula
SN  - 1232-9274
ER  -