The generalized principle of localization for the N-fold Fourier integrals
In this paper, we investigate the almost everywhere convergence properties of the Riesz means of the eigenfunction expansions (multiple Fourier integrals), associated with Laplace operator. The generalized principle of localization for the Riesz means of the order s = (N-1)(1/p-1/2), 1≤p≤2 is proved...
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| 格式: | Article |
| 语言: | English |
| 出版: |
Universiti Putra Malaysia Press
2010
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| 在线阅读: | http://psasir.upm.edu.my/id/eprint/17169/1/17169.pdf http://psasir.upm.edu.my/id/eprint/17169/ http://einspem.upm.edu.my/journal/volume4.2.php |
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| 总结: | In this paper, we investigate the almost everywhere convergence properties of the Riesz means of the eigenfunction expansions (multiple Fourier integrals), associated with Laplace operator. The generalized principle of localization for the Riesz means of the order s = (N-1)(1/p-1/2), 1≤p≤2 is proved.
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