A support theorem for the Dunkl spherical mean operator
Author:
Salem Ben Saïd
Journal:
Proc. Amer. Math. Soc. 149 (2021), 279-284
MSC (2010):
Primary 44A15; Secondary 39A70
DOI:
https://doi.org/10.1090/proc/15206
Published electronically:
October 16, 2020
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: 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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Additional Information
Salem Ben Saïd
Affiliation:
Mathematical Sciences Department, College of Science, United Arab Emirates University, Al Ain, United Arab Emirates
Email:
salem.bensaid@uaeu.ac.ae
DOI:
https://doi.org/10.1090/proc/15206
Keywords:
Dunkl spherical mean operator,
total energy,
support theorem.
Received by editor(s):
November 13, 2019
Received by editor(s) in revised form:
May 25, 2020
Published electronically:
October 16, 2020
Additional Notes:
The author is thankful to United Arab Emirates University for the Start-up Grant No. G00002950.
Communicated by:
Yuan Xu
Article copyright:
© Copyright 2020
American Mathematical Society