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On convergence almost everywhere of multiple Fourier integrals

In this paper we investigate the principle of the generalised localisation for spectral expansions of the polyharmonic operator, which coincides with the multiple Fourier integrals summed over the domains corresponding to the surface levels of the polyharmonic polynomials. It is proved that the part...

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Main Authors: Ahmedov, Anvarjon, Ab. Aziz, Norashikin, Mokhtar, Mohd Noriznan
Format: Article
Language:English
Published: Universiti Kebangsaan Malaysia 2011
Online Access:http://psasir.upm.edu.my/id/eprint/51200/1/On%20convergence%20almost%20everywhere%20of%20multiple%20fourier%20integrals.pdf
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id oai:psasir.upm.edu.my:51200
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spelling oai:psasir.upm.edu.my:51200 http://psasir.upm.edu.my/id/eprint/51200/ On convergence almost everywhere of multiple Fourier integrals Ahmedov, Anvarjon Ab. Aziz, Norashikin Mokhtar, Mohd Noriznan In this paper we investigate the principle of the generalised localisation for spectral expansions of the polyharmonic operator, which coincides with the multiple Fourier integrals summed over the domains corresponding to the surface levels of the polyharmonic polynomials. It is proved that the partial sums of the multiple Fourier integrals of a function f ∈ L2(RN) converge to zero almost-everywhere on RN \ sup f. Universiti Kebangsaan Malaysia 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51200/1/On%20convergence%20almost%20everywhere%20of%20multiple%20fourier%20integrals.pdf Ahmedov, Anvarjon and Ab. Aziz, Norashikin and Mokhtar, Mohd Noriznan (2011) On convergence almost everywhere of multiple Fourier integrals. Journal of Quality Measurement and Analysis, 7 (1). pp. 109-115. ISSN 1823-5670 http://www.ukm.my/jqma/jqma7_1a.html
institution UPM IR
collection UPM IR
language English
description In this paper we investigate the principle of the generalised localisation for spectral expansions of the polyharmonic operator, which coincides with the multiple Fourier integrals summed over the domains corresponding to the surface levels of the polyharmonic polynomials. It is proved that the partial sums of the multiple Fourier integrals of a function f ∈ L2(RN) converge to zero almost-everywhere on RN \ sup f.
format Article
author Ahmedov, Anvarjon
Ab. Aziz, Norashikin
Mokhtar, Mohd Noriznan
spellingShingle Ahmedov, Anvarjon
Ab. Aziz, Norashikin
Mokhtar, Mohd Noriznan
On convergence almost everywhere of multiple Fourier integrals
author_facet Ahmedov, Anvarjon
Ab. Aziz, Norashikin
Mokhtar, Mohd Noriznan
author_sort Ahmedov, Anvarjon
title On convergence almost everywhere of multiple Fourier integrals
title_short On convergence almost everywhere of multiple Fourier integrals
title_full On convergence almost everywhere of multiple Fourier integrals
title_fullStr On convergence almost everywhere of multiple Fourier integrals
title_full_unstemmed On convergence almost everywhere of multiple Fourier integrals
title_sort on convergence almost everywhere of multiple fourier integrals
publisher Universiti Kebangsaan Malaysia
publishDate 2011
url http://psasir.upm.edu.my/id/eprint/51200/1/On%20convergence%20almost%20everywhere%20of%20multiple%20fourier%20integrals.pdf
_version_ 1819297131986419712
score 13.4562235

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