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 : 10.5802/aif.2464
Classification : 42A16
Keywords: Convolution, Fourier series
Mot clés : convolution, séries de Fourier
Körner, Thomas W. 1

1 DPMMS Centre for Mathematical Sciences Clarkson Road Cambridge (England)
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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://www.numdam.org/articles/10.5802/aif.2464/

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