no. 4
Fourier Transforms of Measures and Algebraic Relations on Their Supports
[Transformées de Fourier et relations algèbriques pour leurs supports]
Körner, Thomas W.1
1 DPMMS Centre for Mathematical Sciences Clarkson Road Cambridge (England)
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) 
@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://www.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://www.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://www.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, Tome 59 (2009) no. 4, pp. 1291-1319. doi : 10.5802/aif.2464. http://www.numdam.org/articles/10.5802/aif.2464/

[1] Kahane, J. P. Some random series of functions, Second edition. Cambridge Studies in Advanced Mathematics, Cambridge University Press, Cambridge, 1985 no. 5 | MR | Zbl

[2] Kaufman, R. A functional method for linear sets, Israel J. Math., Volume 5 (1967), pp. 185-187 | DOI | MR | Zbl

[3] Kaufman, R. Small subsets of finite Abelian groups, Annales de l’Institut Fourier, Volume 18 (1968), pp. 99-102 | DOI | Numdam | MR | Zbl

[4] Körner, T. W. K Measures on independent sets, a quantitative version of a theorem of Rudin, Proc. Amer. Math. Soc., Volume 135 (2007) no. 12, pp. 3823-3832 | DOI | MR | Zbl

[5] Kuratowski, K. Topology, I, Academic Press, New York-London, Państwowe Wydawnictwo Naukowe, Warsaw, 1966 (Translated from the French by J. Jaworowski) | MR | Zbl

Cité par Sources :