Some Remarks on Restriction of the Fourier Transform for General Measures
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چکیده
In this paper we establish a formal connection between the average decay of the Fourier transform of functions with respect 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 + α, with 0 < α <
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تاریخ انتشار 2000