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2015 The Fourier Dimension is not Finitely Stable
Fredrik Ekström
Real Anal. Exchange 40(2): 397-402 (2015).


The Fourier dimension is not, in general, stable under finite unions of sets. Moreover, the stability of the Fourier dimension on particular pairs of sets is independent from the stability of the compact Fourier dimension.


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Fredrik Ekström. "The Fourier Dimension is not Finitely Stable." Real Anal. Exchange 40 (2) 397 - 402, 2015.


Published: 2015
First available in Project Euclid: 4 April 2017

zbMATH: 1385.42003
MathSciNet: MR3499772

Primary: 42A38
Secondary: 28A80

Keywords: finite stability , Fourier dimension

Rights: Copyright © 2015 Michigan State University Press

Vol.40 • No. 2 • 2015
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