Estimates of averages of Fourier transforms with respect to general measures

Author： Sjölin Per   Soria Fernando  

Publisher： Royal Society of Edinburgh

ISSN： 1473-7124

Source： Proceedings Section A: Mathematics - Royal Society of Edinburgh, Vol.133, Iss.4, 2003-08, pp. : 943-950

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Abstract

We study a connection between the L2 average decay of the Fourier transform of functions with respect to a given measure and the Hausdorff behaviour of that measure.

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