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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
 Format: LaTeX MathJax PDF

## 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
 MSC Classifications: 42B10 - Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type 28A12 - Contents, measures, outer measures, capacities