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On Falconer's distance set conjecture.

M. Burak Erdogan

Revista Matemática Iberoamericana (2006)

  • Volume: 22, Issue: 2, page 649-662
  • ISSN: 0213-2230

Abstract

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In this paper, using a recent parabolic restriction estimate of Tao, we obtain improved partial results in the direction of Falconer's distance set conjecture in dimensions d ≥ 3.

How to cite

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Erdogan, M. Burak. "On Falconer's distance set conjecture.." Revista Matemática Iberoamericana 22.2 (2006): 649-662. <http://eudml.org/doc/41986>.

@article{Erdogan2006,
abstract = {In this paper, using a recent parabolic restriction estimate of Tao, we obtain improved partial results in the direction of Falconer's distance set conjecture in dimensions d ≥ 3.},
author = {Erdogan, M. Burak},
journal = {Revista Matemática Iberoamericana},
keywords = {Transformada de Fourier; Distancia; Dimensión de Hausdorff; Fourier restriction estimates; Frostman measures; Falconer's conjecture},
language = {eng},
number = {2},
pages = {649-662},
title = {On Falconer's distance set conjecture.},
url = {http://eudml.org/doc/41986},
volume = {22},
year = {2006},
}

TY - JOUR
AU - Erdogan, M. Burak
TI - On Falconer's distance set conjecture.
JO - Revista Matemática Iberoamericana
PY - 2006
VL - 22
IS - 2
SP - 649
EP - 662
AB - In this paper, using a recent parabolic restriction estimate of Tao, we obtain improved partial results in the direction of Falconer's distance set conjecture in dimensions d ≥ 3.
LA - eng
KW - Transformada de Fourier; Distancia; Dimensión de Hausdorff; Fourier restriction estimates; Frostman measures; Falconer's conjecture
UR - http://eudml.org/doc/41986
ER -

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