Dunkl Multiplier Operators on a Class of Reproducing Kernel Hilbert Spaces |
Received:January 30, 2016 Revised:May 06, 2016 |
Key Words:
Sobolev-Dunkl spaces Dunkl multiplier operators Heisenberg-Pauli-Weyl uncertainty principle Donoho-Stark uncertainty principle Tikhonov regularization extremal functions
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Fund Project:Supported by the DGRST Research Project LR11ES11 and CMCU Program 10G/1503. |
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Abstract: |
We study some class of Dunkl multiplier operators; and we establish for them the Heisenberg-Pauli-Weyl uncertainty principle and the Donoho-Stark's uncertainty principle. For these operators we give also an application of the theory of reproducing kernels to the Tikhonov regularization on the Sobolev-Dunkl spaces. |
Citation: |
DOI:10.3770/j.issn:2095-2651.2016.06.008 |
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