Best approximation formulas for the Dunkl \(L^2\)-multiplier operators on \(\mathbb{R}^{d}\) (Q422026)
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scientific article; zbMATH DE number 6035439
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Best approximation formulas for the Dunkl \(L^2\)-multiplier operators on \(\mathbb{R}^{d}\) |
scientific article; zbMATH DE number 6035439 |
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Best approximation formulas for the Dunkl \(L^2\)-multiplier operators on \(\mathbb{R}^{d}\) (English)
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16 May 2012
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The purpose of this paper is to study the Dunkl \(L^2\)-multiplier operators. The author gives Calderón's reproducing formula using the theory of Dunkl transform and Dunkl convolution. Also, he uses the theory of reproducing kernels to give best approximation formulas of these operators and a Calderón's reproducing formula of the associated extremal function.
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Dunkl operator
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\( L^2\)-multiplier operator
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Calderón's reproducing formula
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best approximation formula
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