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.

Detaylı Bibliyografya
Yazar: Grzegorz Łysik
Materyal Türü: Makale
Dil:English
Baskı/Yayın Bilgisi: AGH Univeristy of Science and Technology Press 2015-01-01
Seri Bilgileri:Opuscula Mathematica
Konular:
Online Erişim:http://www.opuscula.agh.edu.pl/vol35/5/art/opuscula_math_3535.pdf