The Fourier Dimension is not Finitely Stable

Fredrik Ekström

doi:rae/1491271224

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Home > Journals > Real Anal. Exchange > Volume 40 > Issue 2 > Article

2015 The Fourier Dimension is not Finitely Stable

Fredrik Ekström

Real Anal. Exchange 40(2): 397-402 (2015).

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Abstract

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.