The generalized localization for multiple Fourier integrals.
In this paper we investigate almost-everywhere convergence properties of the Bochner–Riesz means of N-fold Fourier integrals under summation over domains bounded by the level surfaces of the elliptic polynomials. It is proved that if the order of the Bochner–Riesz means s⩾(N−1)(1/p−1/2), then the Bo...
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Academic Press Inc.
2010
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| الوصول للمادة أونلاين: | http://psasir.upm.edu.my/id/eprint/17168/1/The%20generalized%20localization%20for%20multiple%20Fourier%20integrals.pdf http://psasir.upm.edu.my/id/eprint/17168/ |
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my.upm.eprints.171682015-11-12T04:13:06Z http://psasir.upm.edu.my/id/eprint/17168/ The generalized localization for multiple Fourier integrals. Ashurov , Ravshan Ahmedov, Anvarjon Mahmud , Ahmad Rodzi In this paper we investigate almost-everywhere convergence properties of the Bochner–Riesz means of N-fold Fourier integrals under summation over domains bounded by the level surfaces of the elliptic polynomials. It is proved that if the order of the Bochner–Riesz means s⩾(N−1)(1/p−1/2), then the Bochner–Riesz means of a function f∈Lp(RN), 1⩽p⩽2 converge to zero almost-everywhere on RN∖supp(f). Academic Press Inc. 2010 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/17168/1/The%20generalized%20localization%20for%20multiple%20Fourier%20integrals.pdf Ashurov , Ravshan and Ahmedov, Anvarjon and Mahmud , Ahmad Rodzi (2010) The generalized localization for multiple Fourier integrals. Journal of Mathematical Analysis and Applications , 371 (2). pp. 832-841. ISSN 0022-247X; ESSN: 1096-0813 10.1016/j.jmaa.2010.06.014 English |
| institution |
Universiti Putra Malaysia |
| building |
UPM Library |
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Institutional Repository |
| continent |
Asia |
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Malaysia |
| content_provider |
Universiti Putra Malaysia |
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UPM Institutional Repository |
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http://psasir.upm.edu.my/ |
| language |
English English |
| description |
In this paper we investigate almost-everywhere convergence properties of the Bochner–Riesz means of N-fold Fourier integrals under summation over domains bounded by the level surfaces of the elliptic polynomials. It is proved that if the order of the Bochner–Riesz means s⩾(N−1)(1/p−1/2), then the Bochner–Riesz means of a function f∈Lp(RN), 1⩽p⩽2 converge to zero almost-everywhere on RN∖supp(f). |
| format |
Article |
| author |
Ashurov , Ravshan Ahmedov, Anvarjon Mahmud , Ahmad Rodzi |
| spellingShingle |
Ashurov , Ravshan Ahmedov, Anvarjon Mahmud , Ahmad Rodzi The generalized localization for multiple Fourier integrals. |
| author_facet |
Ashurov , Ravshan Ahmedov, Anvarjon Mahmud , Ahmad Rodzi |
| author_sort |
Ashurov , Ravshan |
| title |
The generalized localization for multiple Fourier integrals. |
| title_short |
The generalized localization for multiple Fourier integrals. |
| title_full |
The generalized localization for multiple Fourier integrals. |
| title_fullStr |
The generalized localization for multiple Fourier integrals. |
| title_full_unstemmed |
The generalized localization for multiple Fourier integrals. |
| title_sort |
generalized localization for multiple fourier integrals. |
| publisher |
Academic Press Inc. |
| publishDate |
2010 |
| url |
http://psasir.upm.edu.my/id/eprint/17168/1/The%20generalized%20localization%20for%20multiple%20Fourier%20integrals.pdf http://psasir.upm.edu.my/id/eprint/17168/ |
| _version_ |
1643826435027107840 |
| score |
13.251813 |