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10 p, 120.2 KB Some remarks on restriction of the Fourier transform for general measures / Sjölin, Per ; Soria, Fernando
In this paper we establish a formal connection between the average decay of the Fourier transform of functions with espect to a given measure and the Hausdorff behavior of that measure. We also present a generalization of the classical restriction theorem of Stein and Tomas replacing the sphere with sets of prefixed Hausdorff dimension n - 1 + [alpha], with 0 < [alpha] < 1.
1999 - 10.5565/PUBLMAT_43299_07
Publicacions matemàtiques, V. 43 N. 2 (1999) , p. 655-664  

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