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MR2500506 42A38
Alesker, Semyon; Artstein-Avidan, Shiri; Milman, Vitali A characterization of the Fourier transform and related topics. Linear and complex analysis, 11–26, Amer. Math. Soc. Transl. Ser. 2, 226, Adv. Math. Sci., 63, Amer. Math. Soc., Providence, RI, 2009.
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