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Harmonic analysis associated with the Weinstein type operator on Rd

We consider the Weinstein type operator ??;d on Rd. We build transmutation operators R? which turn out to be transmutation operator between ??;d and the Laplacian ?d. Using this transmutation operators and its dual tR?, we develop a new commutative harmonic analysis on Rd corresponding to the operator ??;d.



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Keywords: Weinstein type operator; Generalized Weinstein transform; Transmutation operator Annihilating sets

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EISSN: 2737-8071


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