The fourier dimension is not finitely stable

Fredrik Ekström

doi:10.14321/realanalexch.40.2.0397

The fourier dimension is not finitely stable

Fredrik Ekström

Matematik LTH

Forskningsoutput: Tidskriftsbidrag › Artikel i vetenskaplig tidskrift › Peer review

Sammanfattning

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.

Originalspråk	engelska
Sidor (från-till)	397-402
Antal sidor	6
Tidskrift	Real Analysis Exchange
Volym	40
Nummer	2
DOI	https://doi.org/10.14321/realanalexch.40.2.0397
Status	Published - 2015

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Matematisk analys

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10.14321/realanalexch.40.2.0397

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title = "The fourier dimension is not finitely stable",

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.",

keywords = "Finite stability, Fourier dimension",

author = "Fredrik Ekstr{\"o}m",

year = "2015",

doi = "10.14321/realanalexch.40.2.0397",

language = "English",

volume = "40",

pages = "397--402",

journal = "Real Analysis Exchange",

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KW - Finite stability

KW - Fourier dimension

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DO - 10.14321/realanalexch.40.2.0397

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VL - 40

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The fourier dimension is not finitely stable

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