Multiplier operators and extremal functions related to the dual dunkl-sonine operator |
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| Authors: | Fethi SOLTANI |
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| Institution: | Higher College of Technology and Informatics, Street of the Employers 45, Charguia 2 - 2035 Tunis, Tunisia |
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| Abstract: | We study the dual Dunkl-Sonine operator tSk,? on ?d, and give expression of tSk,?, using Dunkl multiplier operators on ?d. Next, we study the extremal functions f*λ, λ >0 related to the Dunkl multiplier operators, and more precisely show that {f*λ} λ >0 converges uniformly to tSk,?(f) as λ → 0+. Certain examples based on Dunkl-heat and Dunkl-Poisson kernels are provided to illustrate the results. |
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| Keywords: | Dunkl transform dual Dunkl-Sonine operator multiplier operators extremal function |
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