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Convolution structure associated with the Jacobi-Dunkl operator on IR

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Abstract

In this paper, a product formula for the eigenfunction of the Jacobi-Dunkl differential-difference operator is derived. It leads to a uniformly bounded convolution of point measures and a signed hypergroup on IR.

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Authors and Affiliations

  1. Département de Mathématiques, Faculté des Sciences de Tunis, Tunis, 1060, Tunisie

    N. Ben Salem

  2. Département de Mathématiques, Faculté des Sciences de Bizerte, Bizerte, Tunisie

    A. Ould Ahmed Salem

Authors
  1. N. Ben Salem
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  2. A. Ould Ahmed Salem
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Correspondence to N. Ben Salem.

Additional information

2000 Mathematics Subject Classification Primary—34K99, 44A15, 44A35, 43A15

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Salem, N.B., Salem, A.O.A. Convolution structure associated with the Jacobi-Dunkl operator on IR . Ramanujan J 12, 359–378 (2006). https://doi.org/10.1007/s11139-006-0149-0

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  • DOI: https://doi.org/10.1007/s11139-006-0149-0

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