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MR1825908 42B10 (58J50)
Taylor, Michael E. Pointwise Fourier inversion. An addendum: "Pointwise Fourier inversion on tori and other compact manifolds'' [J. Fourier Anal. Appl. 5 (1999), no. 5, 449–463; MR1755099]. Proc. Amer. Math. Soc. 129 (2001), no. 7, 2001–2003.
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