Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1280

 Title: Mean-Periodic Functions Associated with the Jacobi-Dunkl Operator on R Authors: Ben Salem, N.Ould Ahmed Salem, A.Selmi, B. Keywords: Jacobi-Dunkl OperatorMean Periodic FunctionJacobi-Dunkl ExpansionPompeiu Problem Issue Date: 2006 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Fractional Calculus and Applied Analysis, Vol. 9, No 3, (2006), 215p-236p Abstract: Using a convolution structure on the real line associated with the Jacobi-Dunkl differential-difference operator Λα,β given by: Λα,βf(x) = f'(x) + ((2α + 1) coth x + (2β + 1) tanh x) { ( f(x) − f(−x) ) / 2 }, α ≥ β ≥ −1/2 , we define mean-periodic functions associated with Λα,β. We characterize these functions as an expansion series intervening appropriate elementary functions expressed in terms of the derivatives of the eigenfunction of Λα,β. Next, we deal with the Pompeiu type problem and convolution equations for this operator. Description: 2000 Mathematics Subject Classification: 34K99, 44A15, 44A35, 42A75, 42A63 URI: http://hdl.handle.net/10525/1280 ISSN: 1311-0454 Appears in Collections: 2006

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