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Integral Transforms and Special Functions Volume 24, 2013 - Issue 7
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Original Articles

Extremal functions on Sobolev–Dunkl spaces

Fethi Soltani Higher College of Technology and Informatics, Street of the Employers 45, Charguia, 2-2035, Tunis, TunisiaCorrespondence[email protected]
Pages 582-595 | Received 23 Jul 2012, Accepted 25 Aug 2012, Published online: 24 Sep 2012
 
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Abstract

We give an application of the theory of reproducing kernels to the Tikhonov regularization on the Sobolev–Dunkl spaces. Next, we come up with some results regarding the identity operator, the Dunkl transform and pseudo-differential operators.

2000 Mathematics Subject Classifications:

Acknowledgements

The author would like to express his deep thanks to the referees for their careful reading and their editing of the manuscript. teh work of the author was partially supported by DGRST project 04/UR/15-02 and CMCU program 10G 1503.

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