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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
Affiliation:
Department of Mathematics, University of Illinois, Urbana, IL 61801 e-mail: [email protected]
Daniel M. Oberlin
Affiliation:
Department of Mathematics, Florida State University, Tallahassee, FL 32306 e-mail: [email protected]
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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.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2013