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The generalized localization for multiple Fourier integrals.


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


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).

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Additional Metadata

Item Type: Article
Divisions: Faculty of Engineering
DOI Number: https://doi.org/10.1016/j.jmaa.2010.06.014
Publisher: Academic Press Inc.
Keywords: Bochner-Riesz means; Multiple Fourier integral; Spectral expansions of elliptic differential operators; The generalized localization.
Depositing User: Fatimah Zahrah @ Aishah Amran
Date Deposited: 31 Dec 2013 05:38
Last Modified: 12 Nov 2015 04:13
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.jmaa.2010.06.014
URI: http://psasir.upm.edu.my/id/eprint/17168
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