Hausdorff and Fourier dimension

Thomas William Körner

Studia Mathematica (2011)

  • Volume: 206, Issue: 1, page 37-50
  • ISSN: 0039-3223

Abstract

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There is no constraint on the relation between the Fourier and Hausdorff dimension of a set beyond the condition that the Fourier dimension must not exceed the Hausdorff dimension.

How to cite

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Thomas William Körner. "Hausdorff and Fourier dimension." Studia Mathematica 206.1 (2011): 37-50. <http://eudml.org/doc/285523>.

@article{ThomasWilliamKörner2011,
abstract = {There is no constraint on the relation between the Fourier and Hausdorff dimension of a set beyond the condition that the Fourier dimension must not exceed the Hausdorff dimension.},
author = {Thomas William Körner},
journal = {Studia Mathematica},
keywords = {Hausdorff dimension; Fourier dimension; probabilistic method; Baire category method; Kaufman's non-probabilistic method},
language = {eng},
number = {1},
pages = {37-50},
title = {Hausdorff and Fourier dimension},
url = {http://eudml.org/doc/285523},
volume = {206},
year = {2011},
}

TY - JOUR
AU - Thomas William Körner
TI - Hausdorff and Fourier dimension
JO - Studia Mathematica
PY - 2011
VL - 206
IS - 1
SP - 37
EP - 50
AB - There is no constraint on the relation between the Fourier and Hausdorff dimension of a set beyond the condition that the Fourier dimension must not exceed the Hausdorff dimension.
LA - eng
KW - Hausdorff dimension; Fourier dimension; probabilistic method; Baire category method; Kaufman's non-probabilistic method
UR - http://eudml.org/doc/285523
ER -

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