Open AccessOn mean-value properties for the Dunkl polyharmonic functions
Author(s) -
Grzegorz Łysik
Publication year - 2015
Publication title -
opuscula mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 16
eISSN - 2300-6919
pISSN - 1232-9274
DOI - 10.7494/opmath.2015.35.5.655
Subject(s) - mathematics , mathematical proof , pure mathematics , value (mathematics) , mean value , differential (mechanical device) , mathematical analysis , statistics , geometry , engineering , aerospace engineering
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
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