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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English English |
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Academic Press Inc.
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/17168/ http://psasir.upm.edu.my/id/eprint/17168/1/The%20generalized%20localization%20for%20multiple%20Fourier%20integrals.pdf |
| _version_ | 1848843167379488768 |
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| author | Ashurov , Ravshan Ahmedov, Anvarjon Mahmud , Ahmad Rodzi |
| author_facet | Ashurov , Ravshan Ahmedov, Anvarjon Mahmud , Ahmad Rodzi |
| author_sort | Ashurov , Ravshan |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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). |
| first_indexed | 2025-11-15T08:10:43Z |
| format | Article |
| id | upm-17168 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:10:43Z |
| publishDate | 2010 |
| publisher | Academic Press Inc. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Ashurov , Ravshan Ahmedov, Anvarjon Mahmud , Ahmad Rodzi The generalized localization for multiple Fourier integrals. |
| title | 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_short | The generalized localization for multiple Fourier integrals. |
| title_sort | generalized localization for multiple fourier integrals. |
| url | http://psasir.upm.edu.my/id/eprint/17168/ http://psasir.upm.edu.my/id/eprint/17168/ http://psasir.upm.edu.my/id/eprint/17168/1/The%20generalized%20localization%20for%20multiple%20Fourier%20integrals.pdf |