Document Zbl 1385.42003

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The Fourier dimension is not finitely stable. (English) Zbl 1385.42003

Real Anal. Exch. 40(2014-2015), No. 2, 397-402 (2015).

Summary: 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.

Cited in 2 Documents

MSC:

42A38	Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
28A80	Fractals

Keywords:

Fourier dimension; finite stability

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