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The Commutants of the Dunkl Operators on ε(Rd)

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DOI: 10.4236/apm.2012.24035    2,847 Downloads   5,350 Views

ABSTRACT

We consider the harmonic analysis associated with the Dunkl operators on Rd. We study the Dunkl mean-periodic functions on the space ε(Rd) (the space of C-functions). We characterize also the continuous linear mappings from ε(Rd) into itself which commute with the Dunkl operators.

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M. Sifi and F. Soltani, "The Commutants of the Dunkl Operators on ε(Rd)," Advances in Pure Mathematics, Vol. 2 No. 4, 2012, pp. 274-297. doi: 10.4236/apm.2012.24035.

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