We investigate the relation between the rate of decrease of a Fourier transform and the possible algebraic relations on its support.
Si la transformée de Fourier d’une mesure décroît rapidement alors le support ne satisfait que très peu des relations algèbriques.
Keywords: Convolution, Fourier series
Mot 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}, zbl = {1179.42004}, mrnumber = {2566961}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.2464/} }
TY - JOUR AU - Körner, Thomas W. TI - Fourier Transforms of Measures and Algebraic Relations on Their Supports JO - Annales de l'Institut Fourier PY - 2009 SP - 1291 EP - 1319 VL - 59 IS - 4 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.2464/ DO - 10.5802/aif.2464 LA - en ID - AIF_2009__59_4_1291_0 ER -
%0 Journal Article %A Körner, Thomas W. %T Fourier Transforms of Measures and Algebraic Relations on Their Supports %J Annales de l'Institut Fourier %D 2009 %P 1291-1319 %V 59 %N 4 %I Association des Annales de l’institut Fourier %U http://archive.numdam.org/articles/10.5802/aif.2464/ %R 10.5802/aif.2464 %G en %F AIF_2009__59_4_1291_0
Körner, Thomas W. Fourier Transforms of Measures and Algebraic Relations on Their Supports. Annales de l'Institut Fourier, Volume 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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