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.

Бібліографічні деталі
Автор: Grzegorz Łysik
Формат: Стаття
Мова:English
Опубліковано: AGH Univeristy of Science and Technology Press 2015-01-01
Серія:Opuscula Mathematica
Предмети:
Онлайн доступ:http://www.opuscula.agh.edu.pl/vol35/5/art/opuscula_math_3535.pdf