Fethi SOLTANI.Dunkl Multiplier Operators on a Class of Reproducing Kernel Hilbert Spaces[J].数学研究及应用,2016,36(6):689~702
Dunkl Multiplier Operators on a Class of Reproducing Kernel Hilbert Spaces
Dunkl Multiplier Operators on a Class of Reproducing Kernel Hilbert Spaces
投稿时间:2016-01-30  最后修改时间:2016-05-06
DOI:10.3770/j.issn:2095-2651.2016.06.008
中文关键词:  Sobolev-Dunkl spaces  Dunkl multiplier operators  Heisenberg-Pauli-Weyl uncertainty principle  Donoho-Stark uncertainty principle  Tikhonov regularization  extremal functions
英文关键词:Sobolev-Dunkl spaces  Dunkl multiplier operators  Heisenberg-Pauli-Weyl uncertainty principle  Donoho-Stark uncertainty principle  Tikhonov regularization  extremal functions
基金项目:Supported by the DGRST Research Project LR11ES11 and CMCU Program 10G/1503.
作者单位
Fethi SOLTANI Department of Mathematics, Faculty of Science, Jazan University, P. O. Box 277, Jazan 45142, Saudi Arabia 
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中文摘要:
      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.
英文摘要:
      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.
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