The fourier dimension is not finitely stable
(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:
https://lup.lub.lu.se/record/003669c3-b227-40a6-8605-21fd64eaa224
- author
- Ekström, Fredrik LU
- organization
- publishing date
- 2015
- 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
- 2022-01-30 19:24:29
@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}},
keywords = {{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}},
doi = {{10.14321/realanalexch.40.2.0397}},
volume = {{40}},
year = {{2015}},
}