Fourier Transforms of Measures and Algebraic Relations on Their Supports
[Transformées de Fourier et relations algèbriques pour leurs supports]
Annales de l'Institut Fourier, Tome 59 (2009) no. 4, pp. 1291-1319.

Si la transformée de Fourier d’une mesure décroît rapidement alors le support ne satisfait que très peu des relations algèbriques.

We investigate the relation between the rate of decrease of a Fourier transform and the possible algebraic relations on its support.

DOI : https://doi.org/10.5802/aif.2464
Classification : 42A16
Mots clés : convolution, séries de Fourier
@article{AIF_2009__59_4_1291_0,
author = {K\"orner, Thomas W.},
title = {Fourier Transforms of Measures and Algebraic Relations on Their Supports},
journal = {Annales de l'Institut Fourier},
pages = {1291--1319},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {59},
number = {4},
year = {2009},
doi = {10.5802/aif.2464},
mrnumber = {2566961},
zbl = {1179.42004},
language = {en},
url = {http://archive.numdam.org/articles/10.5802/aif.2464/}
}
Körner, Thomas W. Fourier Transforms of Measures and Algebraic Relations on Their Supports. Annales de l'Institut Fourier, Tome 59 (2009) no. 4, pp. 1291-1319. doi : 10.5802/aif.2464. http://archive.numdam.org/articles/10.5802/aif.2464/

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