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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A support theorem for the Dunkl spherical mean operator
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by Salem Ben Saïd
Proc. Amer. Math. Soc. 149 (2021), 279-284
DOI: https://doi.org/10.1090/proc/15206
Published electronically: October 16, 2020

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.
References
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Bibliographic Information
  • Salem Ben Saïd
  • Affiliation: Mathematical Sciences Department, College of Science, United Arab Emirates University, Al Ain, United Arab Emirates
  • ORCID: 0000-0002-9077-4629
  • Email: salem.bensaid@uaeu.ac.ae
  • 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
  • © Copyright 2020 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 149 (2021), 279-284
  • MSC (2010): Primary 44A15; Secondary 39A70
  • DOI: https://doi.org/10.1090/proc/15206
  • MathSciNet review: 4172604