Dans tout groupe abélien localement compact , il existe une mesure de Radon dont la transformée de Fourier tend vers zéro à l’infini et dont le support engendre dans un sous-groupe de mesure de Haar nulle.
@article{AIF_1966__16_2_123_0,
author = {Varopoulos, Nicolas Th.},
title = {Sets of multiplicity in locally compact abelian groups},
journal = {Annales de l'Institut Fourier},
volume = {16},
year = {1966},
pages = {123-158},
doi = {10.5802/aif.238},
mrnumber = {35 \#3379},
zbl = {0145.03501},
language = {en},
url = {http://dml.mathdoc.fr/item/AIF_1966__16_2_123_0}
}
Varopoulos, Nicolas Th. Sets of multiplicity in locally compact abelian groups. Annales de l'Institut Fourier, Tome 16 (1966) pp. 123-158. doi : 10.5802/aif.238. http://gdmltest.u-ga.fr/item/AIF_1966__16_2_123_0/
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