TY  - JOUR
T1  - On convergence almost everywhere of multiple Fourier integrals
A1  - Ahmedov, Anvarjon
LA  - English
PB  - Universiti Kebangsaan Malaysia
YR  - 2011
UL  - http://discoverylib.upm.edu.my/discovery/Record/oai:psasir.upm.edu.my:51200
AB  - 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.
ER  -