On donne une version nouvelle de la construction par Ivasev-Musatov d’une mesure telle que son support ait une mesure de Lebesgue nulle, mais telle que sa transformée de Fourier décroisse très vite.
We give a new version of Ivasev-Musatov’s construction of a measure whose support has Lebesgue measure zero but whose Fourier transform drops away extremely rapidly.
@article{AIF_1977__27_3_97_0,
author = {Korner, Thomas-William},
title = {On the theorem of Ivasev-Musatov. I},
journal = {Annales de l'Institut Fourier},
volume = {27},
year = {1977},
pages = {97-115},
doi = {10.5802/aif.662},
mrnumber = {57 \#3721},
zbl = {0353.28001},
language = {en},
url = {http://dml.mathdoc.fr/item/AIF_1977__27_3_97_0}
}
Korner, Thomas-William. On the theorem of Ivasev-Musatov. I. Annales de l'Institut Fourier, Tome 27 (1977) pp. 97-115. doi : 10.5802/aif.662. http://gdmltest.u-ga.fr/item/AIF_1977__27_3_97_0/
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