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.

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Grzegorz Łysik
Μορφή: Άρθρο
Γλώσσα:English
Έκδοση: AGH Univeristy of Science and Technology Press 2015-01-01
Σειρά:Opuscula Mathematica
Θέματα:
Διαθέσιμο Online:http://www.opuscula.agh.edu.pl/vol35/5/art/opuscula_math_3535.pdf