(1) School of MPCE, Macquarie University, 2109, NSW, Australia;(2) Dipartimento di Matematica, Università degli Studi di Roma, Via Fontanile di Carcaricola, I-00133 Tor Vergata, Roma, Italia
Abstract:
Suppose thatf is an element ofL2(Rn) whose orbit under the action ofSO(n) spans a finite-dimensional subspace. Then the spherical partial sums of the inverse Fourier transform off converge almost everywhere.