Open AccessA support theorem for the Dunkl spherical mean operator
Author(s) -
Salem Ben Saïd
Publication year - 2020
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc/15206
Subject(s) - mathematics , operator (biology) , poisson distribution , euler's formula , mathematical analysis , pure mathematics , type (biology) , energy operator , energy (signal processing) , biochemistry , chemistry , repressor , transcription factor , gene , ecology , statistics , biology
We prove a support theorem for the Dunkl spherical mean operator. The proof relies on the decay of the total energy of the solutions to Euler-Poisson-Darboux type equations.
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