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.

Библиографические подробности
Главный автор: Grzegorz Łysik
Формат: Статья
Язык:English
Опубликовано: AGH Univeristy of Science and Technology Press 2015-01-01
Серии:Opuscula Mathematica
Предметы:
Online-ссылка:http://www.opuscula.agh.edu.pl/vol35/5/art/opuscula_math_3535.pdf