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On almost everywhere convergence
Authors:C Meaney  E Prestini
Institution:(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 ofL 2(R n ) 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.
Keywords:42B08  Secondary 42B25
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