Almost everywhere convergence of Bochner-Riesz means with critical index for Dunkl transforms (Q259090)
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scientific article; zbMATH DE number 6553717
| Language | Label | Description | Also known as |
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| English | Almost everywhere convergence of Bochner-Riesz means with critical index for Dunkl transforms |
scientific article; zbMATH DE number 6553717 |
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Almost everywhere convergence of Bochner-Riesz means with critical index for Dunkl transforms (English)
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10 March 2016
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It is proved in this paper that the Bochner-Riesz means of critical order for the Dunkl transform of an \(L^1\)-function associated with the corresponding weight converge almost everywhere to this function. The main point of interest is that as is well-known in classical analysis, this result is no longer true in the unweighted case, i.\,e. for the usual Fourier transform.
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Dunkl transforms
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Bochner-Riesz means
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almost everywhere convergence
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0.96339643
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0.92605144
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0.9157324
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0.9114607
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0.90674955
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0.89830035
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