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On Some Theorems of the Dunkl—Lipschitz Class for the Dunkl Transform

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Abstract

Using a generalized spherical mean operator, we obtain a generalization of two theorems 84 and 85 of Titchmarsh for the Dunkl transform for functions satisfying the Dunkl—Lipschitz condition in the space Lp(ℝd, wk(x)dx), where 1 < p ≤ 2.

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Authors and Affiliations

  1. Laboratoire TAGMD, Faculté des Sciences Aïn Chock, Université Hassan II, B.P 5366, Maarif, Casablanca, Maroc

    Mohamed El Hamma & Radouan Daher

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  1. Mohamed El Hamma
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  2. Radouan Daher
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Correspondence to Mohamed El Hamma or Radouan Daher.

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El Hamma, M., Daher, R. On Some Theorems of the Dunkl—Lipschitz Class for the Dunkl Transform. Lobachevskii J Math 40, 1157–1163 (2019). https://doi.org/10.1134/S199508021908002X

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  • DOI: https://doi.org/10.1134/S199508021908002X

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