On mean-value properties for the Dunkl polyharmonic functions

Opuscula Mathematica

Grzegorz Łysik¹ 

[1] Polish Academy of Sciences, Institute of Mathematics, Śniadeckich 8, 00-656 Warsaw, Poland;

关键词: Dunkl Laplacian;    Dunkl polyharmonic functions;    mean-values;    Pizzetti formula;   

DOI  :  http://dx.doi.org/10.7494/OpMath.2015.35.5.655

来源: DOAJ

【 摘 要 】

Wederive differential relations between the Dunkl spherical and solid means of continuous functions. Next we use the relations to giveinductiveproofs ofmean-value properties for the Dunkl polyharmonic functions and their converses.

【 授权许可】

Unknown