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The fourier dimension is not finitely stable

Ekström, Fredrik LU (2015) In Real Analysis Exchange 40(2). p.397-402
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.

Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Finite stability, Fourier dimension
in
Real Analysis Exchange
volume
40
issue
2
pages
6 pages
publisher
Michigan State University Press
external identifiers
  • scopus:85015980539
ISSN
0147-1937
DOI
10.14321/realanalexch.40.2.0397
language
English
LU publication?
yes
id
003669c3-b227-40a6-8605-21fd64eaa224
date added to LUP
2017-04-10 15:17:22
date last changed
2017-11-14 09:49:24
@article{003669c3-b227-40a6-8605-21fd64eaa224,
  abstract     = {<p>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.</p>},
  author       = {Ekström, Fredrik},
  issn         = {0147-1937},
  keyword      = {Finite stability,Fourier dimension},
  language     = {eng},
  number       = {2},
  pages        = {397--402},
  publisher    = {Michigan State University Press},
  series       = {Real Analysis Exchange},
  title        = {The fourier dimension is not finitely stable},
  url          = {http://dx.doi.org/10.14321/realanalexch.40.2.0397},
  volume       = {40},
  year         = {2015},
}