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Extremal functions on Sobolev–Dunkl spaces.

Authors :
Soltani, Fethi
Source :
Integral Transforms & Special Functions. Jul2013, Vol. 24 Issue 7, p582-595. 14p.
Publication Year :
2013

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*MATHEMATICAL functions
*SOBOLEV spaces
*KERNEL (Mathematics)
*TIKHONOV regularization
*IDENTITIES (Mathematics)
*PSEUDODIFFERENTIAL operators
*MATHEMATICAL analysis

Details

Language :
English
ISSN :
10652469
Volume :
24
Issue :
7
Database :
Academic Search Index
Journal :
Integral Transforms & Special Functions
Publication Type :
Academic Journal
Accession number :
89152512
Full Text :
https://doi.org/10.1080/10652469.2012.725167
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