@article{1200.26022, author="Carro, M.J.", title="{Almost everywhere convergence of the spherical partial Fourier integrals for radial functions.}", language="English", journal="Banach J. Math. Anal. ", volume="4", number="1", pages="92-99", year="2010", abstract="{Some new conditions on a radial function $f$ in order to have the almost everywhere convergence of the spherical partial Fourier integrals are studied. Some consequences of the results obtained are highlighted, discussed and compared to some known results in the literature.}", reviewer="{James Adedayo Oguntuase (Abeokuta)}", keywords="{Fourier integrals; extrapolation theory; almost everywhere convergence; radial functions; Muckenhoupt weights}", classmath="{*26D10 (Inequalities involving derivatives, diff. and integral operators) 44A20 (Integral transforms of special functions) 42B10 (Fourier type transforms, several variables) }", }