On mean-value properties for the Dunkl polyharmonic functions

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.

Bibliografski detalji
Glavni autor: Grzegorz Łysik
Format: Članak
Jezik:English
Izdano: AGH Univeristy of Science and Technology Press 2015-01-01
Serija:Opuscula Mathematica
Teme:
Online pristup:http://www.opuscula.agh.edu.pl/vol35/5/art/opuscula_math_3535.pdf