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    • Keywords


      Cherednik operators; Cherednik transform; Miyachi’s theorem; Beurling’s theorem.

    • Abstract


      We shall investigate two uncertainty principles for the Cherednik transform on the Euclidean space $\mathfrak{a}$; Miyachi’s theorem and Beurling’s theorem. We give an analogue of Miyachi’s theorem for the Cherednik transform and under the assumption that $\mathfrak{a}$ has a hypergroup structure, an analogue of Beurling’s theorem for the Cherednik transform.

    • Author Affiliations


      R Daher1 S L Hamad1 T Kawazoe2 N Shimeno3

      1. Department of Mathematics, Faculty of Sciences of Ain Chock, University of Hassan II, Casablanca, Morocco
      2. Department of Mathematics, Keio University at Fujisawa, 5322 Endo, Kanagawa 252-8520, Japan
      3. School of Science and Technology, Kwansei Gakuin University, 2-1 Gakuen, Sanda-City 6691337, Japan
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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