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MR1028744 (91d:42015) 42B05 (42B25)
Carbery, Anthony; Soria, Fernando Almost-everywhere convergence of Fourier integrals for functions in Sobolev spaces, and an $L\sp 2$-localisation principle. Rev. Mat. Iberoamericana 4 (1988), no. 2, 319–337.
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