On convergence almost everywhere of multiple Fourier Integrals
Classical Analysis and ODEs
2019-07-23 v1
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\inL_2 (R^N ) converge to zero almost-everywhere on R^N\supp(f).
Keywords
Cite
@article{arxiv.1907.09307,
title = {On convergence almost everywhere of multiple Fourier Integrals},
author = {Anvarjon Ahmedov and Norashikin Abdul Aziz and Mohd Noriznan Mohtar},
journal= {arXiv preprint arXiv:1907.09307},
year = {2019}
}