[Transformées de Fourier et relations algèbriques pour leurs supports]
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.
Keywords: Convolution, Fourier series
Mot clés : convolution, séries de Fourier
Körner, Thomas W. 1
@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 = {https://aif.centre-mersenne.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 - https://aif.centre-mersenne.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 https://aif.centre-mersenne.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, Tome 59 (2009) no. 4, pp. 1291-1319. doi : 10.5802/aif.2464. https://aif.centre-mersenne.org/articles/10.5802/aif.2464/
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