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Restricting Fourier Transforms of Measures to Curves in ℝ2

Published online by Cambridge University Press:  20 November 2018

M. Burak Erdğan  and
Daniel M. Oberlin
M. Burak Erdğan
Affiliation:
Department of Mathematics, University of Illinois, Urbana, IL 61801 e-mail: berdogan@math.uiuc.edu
Daniel M. Oberlin
Affiliation:
Department of Mathematics, Florida State University, Tallahassee, FL 32306 e-mail: oberlin@math.fsu.edu
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Abstract

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We establish estimates for restrictions to certain curves in ${{\mathbb{R}}^{2}}$ of the Fourier transforms of some fractal measures.

Keywords

42B1028A12Fourier transforms of fractal measuresFourier restriction
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 56 , Issue 2 , 01 June 2013 , pp. 326 - 336
Copyright
Copyright © Canadian Mathematical Society 2013