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Restricting Fourier Transforms of Measures to Curves in $\mathbb R^2$

  Published:2011-08-31
 Printed: Jun 2013
  • M. Burak Erdoğan,
    Department of Mathematics, University of Illinois, Urbana, IL 61801
  • Daniel M. Oberlin,
    Department of Mathematics, Florida State University, Tallahassee, FL 32306
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Abstract

We establish estimates for restrictions to certain curves in $\mathbb R^2$ of the Fourier transforms of some fractal measures.
Keywords: Fourier transforms of fractal measures, Fourier restriction Fourier transforms of fractal measures, Fourier restriction
MSC Classifications: 42B10, 28A12 show english descriptions Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
Contents, measures, outer measures, capacities
42B10 - Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
28A12 - Contents, measures, outer measures, capacities
 

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