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Almost everywhere convergence of the spherical partial Fourier integrals for radial functions. (English) Zbl 1200.26022
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.
MSC:
26D10Inequalities involving derivatives, differential and integral operators
44A20Integral transforms of special functions
42B10Fourier type transforms, several variables