Citation
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
Abstract
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.
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Official URL or Download Paper: http://www.ukm.my/jqma/jqma7_1a.html
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Engineering |
| Publisher: | Universiti Kebangsaan Malaysia |
| Keywords: | Fourier integrals; Spectral expansions; Maximal operators |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 02 May 2017 08:02 |
| Last Modified: | 02 May 2017 08:02 |
| URI: | http://psasir.upm.edu.my/id/eprint/51200 |
| Statistic Details: | View Download Statistic |
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