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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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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my.upm.eprints.171692015-05-27T07:42:40Z http://psasir.upm.edu.my/id/eprint/17169/ The generalized principle of localization for the N-fold Fourier integrals Ahmedov, Anvarjon 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. Universiti Putra Malaysia Press 2010 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/17169/1/17169.pdf Ahmedov, Anvarjon (2010) The generalized principle of localization for the N-fold Fourier integrals. Malaysian Journal of Mathematical Sciences, 4 (2). pp. 209-225. ISSN 1823-8343 http://einspem.upm.edu.my/journal/volume4.2.php |
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Universiti Putra Malaysia |
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UPM Library |
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Institutional Repository |
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Asia |
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Malaysia |
| content_provider |
Universiti Putra Malaysia |
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http://psasir.upm.edu.my/ |
| language |
English |
| description |
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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| format |
Article |
| author |
Ahmedov, Anvarjon |
| spellingShingle |
Ahmedov, Anvarjon The generalized principle of localization for the N-fold Fourier integrals |
| author_facet |
Ahmedov, Anvarjon |
| author_sort |
Ahmedov, Anvarjon |
| title |
The generalized principle of localization for the N-fold Fourier integrals |
| title_short |
The generalized principle of localization for the N-fold Fourier integrals |
| title_full |
The generalized principle of localization for the N-fold Fourier integrals |
| title_fullStr |
The generalized principle of localization for the N-fold Fourier integrals |
| title_full_unstemmed |
The generalized principle of localization for the N-fold Fourier integrals |
| title_sort |
generalized principle of localization for the n-fold fourier integrals |
| publisher |
Universiti Putra Malaysia Press |
| publishDate |
2010 |
| url |
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 |
| _version_ |
1643826435319660544 |
| score |
13.251813 |