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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Author Name: Azzedine Achak, Radouan Daher, Najat Safouane
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Keywords: Weinstein type operator; Generalized Weinstein transform; Transmutation operator Annihilating sets