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Linear and Bilinear Multiplier Operators for the Dunkl Transform

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Abstract

The main purpose of this article is to study the L p -boundedness of linear and bilinear multiplier operators for the Dunkl transform in the one dimensional case.

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Authors and Affiliations

  1. Department of Mathematics, Preparatory Institute of Engineer Studies of Tunis, 1089, Montfleury, Tunis, Tunisia

    Bechir Amri & Abdessalem Gasmi

  2. Department of Mathematics, Faculty of Sciences of Tunis, 1060, Tunis, Tunisia

    Mohamed Sifi

Authors
  1. Bechir Amri
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  2. Abdessalem Gasmi
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  3. Mohamed Sifi
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Correspondence to Mohamed Sifi.

Additional information

The authors are supported by the DGRST research project 04/UR/15-02.

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Amri, B., Gasmi, A. & Sifi, M. Linear and Bilinear Multiplier Operators for the Dunkl Transform. Mediterr. J. Math. 7, 503–521 (2010). https://doi.org/10.1007/s00009-010-0057-9

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  • DOI: https://doi.org/10.1007/s00009-010-0057-9

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